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Simplifying (5 + -3x) + -1(-4x + 6) = 8(x + 1) + -3(2x + 3) Remove parenthesis around (5 + -3x) 5 + -3x + -1(-4x + 6) = 8(x + 1) + -3(2x + 3) Reorder the terms: 5 + -3x + -1(6 + -4x) = 8(x + 1) + -3(2x + 3) 5 + -3x + (6 * -1 + -4x * -1) = 8(x + 1) + -3(2x + 3) 5 + -3x + (-6 + 4x) = 8(x + 1) + -3(2x + 3) Reorder the terms: 5 + -6 + -3x + 4x = 8(x + 1) + -3(2x + 3) Combine like terms: 5 + -6 = -1 -1 + -3x + 4x = 8(x + 1) + -3(2x + 3) Combine like terms: -3x + 4x = 1x -1 + 1x = 8(x + 1) + -3(2x + 3) Reorder the terms: -1 + 1x = 8(1 + x) + -3(2x + 3) -1 + 1x = (1 * 8 + x * 8) + -3(2x + 3) -1 + 1x = (8 + 8x) + -3(2x + 3) Reorder the terms: -1 + 1x = 8 + 8x + -3(3 + 2x) -1 + 1x = 8 + 8x + (3 * -3 + 2x * -3) -1 + 1x = 8 + 8x + (-9 + -6x) Reorder the terms: -1 + 1x = 8 + -9 + 8x + -6x Combine like terms: 8 + -9 = -1 -1 + 1x = -1 + 8x + -6x Combine like terms: 8x + -6x = 2x -1 + 1x = -1 + 2x Add '1' to each side of the equation. -1 + 1 + 1x = -1 + 1 + 2x Combine like terms: -1 + 1 = 0 0 + 1x = -1 + 1 + 2x 1x = -1 + 1 + 2x Combine like terms: -1 + 1 = 0 1x = 0 + 2x 1x = 2x Solving 1x = 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. 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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