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Simplifying (3x + -2) * 2 + -3(x + -1) = 6x * 2 + -5x + -6 Reorder the terms: (-2 + 3x) * 2 + -3(x + -1) = 6x * 2 + -5x + -6 Reorder the terms for easier multiplication: 2(-2 + 3x) + -3(x + -1) = 6x * 2 + -5x + -6 (-2 * 2 + 3x * 2) + -3(x + -1) = 6x * 2 + -5x + -6 (-4 + 6x) + -3(x + -1) = 6x * 2 + -5x + -6 Reorder the terms: -4 + 6x + -3(-1 + x) = 6x * 2 + -5x + -6 -4 + 6x + (-1 * -3 + x * -3) = 6x * 2 + -5x + -6 -4 + 6x + (3 + -3x) = 6x * 2 + -5x + -6 Reorder the terms: -4 + 3 + 6x + -3x = 6x * 2 + -5x + -6 Combine like terms: -4 + 3 = -1 -1 + 6x + -3x = 6x * 2 + -5x + -6 Combine like terms: 6x + -3x = 3x -1 + 3x = 6x * 2 + -5x + -6 Reorder the terms for easier multiplication: -1 + 3x = 6 * 2x + -5x + -6 Multiply 6 * 2 -1 + 3x = 12x + -5x + -6 Reorder the terms: -1 + 3x = -6 + 12x + -5x Combine like terms: 12x + -5x = 7x -1 + 3x = -6 + 7x Solving -1 + 3x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 3x + -7x = -6 + 7x + -7x Combine like terms: 3x + -7x = -4x -1 + -4x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -4x = -6 + 0 -1 + -4x = -6 Add '1' to each side of the equation. -1 + 1 + -4x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -6 + 1 -4x = -6 + 1 Combine like terms: -6 + 1 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25
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