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Simplifying 3(x + -1) + -1(4x + 2) = 3(2x + -1) + -2(x + 3) Reorder the terms: 3(-1 + x) + -1(4x + 2) = 3(2x + -1) + -2(x + 3) (-1 * 3 + x * 3) + -1(4x + 2) = 3(2x + -1) + -2(x + 3) (-3 + 3x) + -1(4x + 2) = 3(2x + -1) + -2(x + 3) Reorder the terms: -3 + 3x + -1(2 + 4x) = 3(2x + -1) + -2(x + 3) -3 + 3x + (2 * -1 + 4x * -1) = 3(2x + -1) + -2(x + 3) -3 + 3x + (-2 + -4x) = 3(2x + -1) + -2(x + 3) Reorder the terms: -3 + -2 + 3x + -4x = 3(2x + -1) + -2(x + 3) Combine like terms: -3 + -2 = -5 -5 + 3x + -4x = 3(2x + -1) + -2(x + 3) Combine like terms: 3x + -4x = -1x -5 + -1x = 3(2x + -1) + -2(x + 3) Reorder the terms: -5 + -1x = 3(-1 + 2x) + -2(x + 3) -5 + -1x = (-1 * 3 + 2x * 3) + -2(x + 3) -5 + -1x = (-3 + 6x) + -2(x + 3) Reorder the terms: -5 + -1x = -3 + 6x + -2(3 + x) -5 + -1x = -3 + 6x + (3 * -2 + x * -2) -5 + -1x = -3 + 6x + (-6 + -2x) Reorder the terms: -5 + -1x = -3 + -6 + 6x + -2x Combine like terms: -3 + -6 = -9 -5 + -1x = -9 + 6x + -2x Combine like terms: 6x + -2x = 4x -5 + -1x = -9 + 4x Solving -5 + -1x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -1x + -4x = -9 + 4x + -4x Combine like terms: -1x + -4x = -5x -5 + -5x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -5x = -9 + 0 -5 + -5x = -9 Add '5' to each side of the equation. -5 + 5 + -5x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -9 + 5 -5x = -9 + 5 Combine like terms: -9 + 5 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8
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