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Simplifying (3x + -2) * 2 + 3x + -1(x + 1) * 2 = 8(x + -1) * 2 + 5x + -5 Reorder the terms: (-2 + 3x) * 2 + 3x + -1(x + 1) * 2 = 8(x + -1) * 2 + 5x + -5 Reorder the terms for easier multiplication: 2(-2 + 3x) + 3x + -1(x + 1) * 2 = 8(x + -1) * 2 + 5x + -5 (-2 * 2 + 3x * 2) + 3x + -1(x + 1) * 2 = 8(x + -1) * 2 + 5x + -5 (-4 + 6x) + 3x + -1(x + 1) * 2 = 8(x + -1) * 2 + 5x + -5 Reorder the terms: -4 + 6x + 3x + -1(1 + x) * 2 = 8(x + -1) * 2 + 5x + -5 Reorder the terms for easier multiplication: -4 + 6x + 3x + -1 * 2(1 + x) = 8(x + -1) * 2 + 5x + -5 Multiply -1 * 2 -4 + 6x + 3x + -2(1 + x) = 8(x + -1) * 2 + 5x + -5 -4 + 6x + 3x + (1 * -2 + x * -2) = 8(x + -1) * 2 + 5x + -5 -4 + 6x + 3x + (-2 + -2x) = 8(x + -1) * 2 + 5x + -5 Reorder the terms: -4 + -2 + 6x + 3x + -2x = 8(x + -1) * 2 + 5x + -5 Combine like terms: -4 + -2 = -6 -6 + 6x + 3x + -2x = 8(x + -1) * 2 + 5x + -5 Combine like terms: 6x + 3x = 9x -6 + 9x + -2x = 8(x + -1) * 2 + 5x + -5 Combine like terms: 9x + -2x = 7x -6 + 7x = 8(x + -1) * 2 + 5x + -5 Reorder the terms: -6 + 7x = 8(-1 + x) * 2 + 5x + -5 Reorder the terms for easier multiplication: -6 + 7x = 8 * 2(-1 + x) + 5x + -5 Multiply 8 * 2 -6 + 7x = 16(-1 + x) + 5x + -5 -6 + 7x = (-1 * 16 + x * 16) + 5x + -5 -6 + 7x = (-16 + 16x) + 5x + -5 Reorder the terms: -6 + 7x = -16 + -5 + 16x + 5x Combine like terms: -16 + -5 = -21 -6 + 7x = -21 + 16x + 5x Combine like terms: 16x + 5x = 21x -6 + 7x = -21 + 21x Solving -6 + 7x = -21 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -6 + 7x + -21x = -21 + 21x + -21x Combine like terms: 7x + -21x = -14x -6 + -14x = -21 + 21x + -21x Combine like terms: 21x + -21x = 0 -6 + -14x = -21 + 0 -6 + -14x = -21 Add '6' to each side of the equation. -6 + 6 + -14x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = -21 + 6 -14x = -21 + 6 Combine like terms: -21 + 6 = -15 -14x = -15 Divide each side by '-14'. x = 1.071428571 Simplifying x = 1.071428571
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