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Simplifying 1 + -1(3x + 4) * 2 = (4x + -1) * 2 + -1(5x + 2) * 2 Reorder the terms: 1 + -1(4 + 3x) * 2 = (4x + -1) * 2 + -1(5x + 2) * 2 Reorder the terms for easier multiplication: 1 + -1 * 2(4 + 3x) = (4x + -1) * 2 + -1(5x + 2) * 2 Multiply -1 * 2 1 + -2(4 + 3x) = (4x + -1) * 2 + -1(5x + 2) * 2 1 + (4 * -2 + 3x * -2) = (4x + -1) * 2 + -1(5x + 2) * 2 1 + (-8 + -6x) = (4x + -1) * 2 + -1(5x + 2) * 2 Combine like terms: 1 + -8 = -7 -7 + -6x = (4x + -1) * 2 + -1(5x + 2) * 2 Reorder the terms: -7 + -6x = (-1 + 4x) * 2 + -1(5x + 2) * 2 Reorder the terms for easier multiplication: -7 + -6x = 2(-1 + 4x) + -1(5x + 2) * 2 -7 + -6x = (-1 * 2 + 4x * 2) + -1(5x + 2) * 2 -7 + -6x = (-2 + 8x) + -1(5x + 2) * 2 Reorder the terms: -7 + -6x = -2 + 8x + -1(2 + 5x) * 2 Reorder the terms for easier multiplication: -7 + -6x = -2 + 8x + -1 * 2(2 + 5x) Multiply -1 * 2 -7 + -6x = -2 + 8x + -2(2 + 5x) -7 + -6x = -2 + 8x + (2 * -2 + 5x * -2) -7 + -6x = -2 + 8x + (-4 + -10x) Reorder the terms: -7 + -6x = -2 + -4 + 8x + -10x Combine like terms: -2 + -4 = -6 -7 + -6x = -6 + 8x + -10x Combine like terms: 8x + -10x = -2x -7 + -6x = -6 + -2x Solving -7 + -6x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + -6x + 2x = -6 + -2x + 2x Combine like terms: -6x + 2x = -4x -7 + -4x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -4x = -6 + 0 -7 + -4x = -6 Add '7' to each side of the equation. -7 + 7 + -4x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -6 + 7 -4x = -6 + 7 Combine like terms: -6 + 7 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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