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Simplifying -7(x + -2) + 4x + 3(2x + -6) = 8 + -1(5 + -1x) + -3 Reorder the terms: -7(-2 + x) + 4x + 3(2x + -6) = 8 + -1(5 + -1x) + -3 (-2 * -7 + x * -7) + 4x + 3(2x + -6) = 8 + -1(5 + -1x) + -3 (14 + -7x) + 4x + 3(2x + -6) = 8 + -1(5 + -1x) + -3 Reorder the terms: 14 + -7x + 4x + 3(-6 + 2x) = 8 + -1(5 + -1x) + -3 14 + -7x + 4x + (-6 * 3 + 2x * 3) = 8 + -1(5 + -1x) + -3 14 + -7x + 4x + (-18 + 6x) = 8 + -1(5 + -1x) + -3 Reorder the terms: 14 + -18 + -7x + 4x + 6x = 8 + -1(5 + -1x) + -3 Combine like terms: 14 + -18 = -4 -4 + -7x + 4x + 6x = 8 + -1(5 + -1x) + -3 Combine like terms: -7x + 4x = -3x -4 + -3x + 6x = 8 + -1(5 + -1x) + -3 Combine like terms: -3x + 6x = 3x -4 + 3x = 8 + -1(5 + -1x) + -3 -4 + 3x = 8 + (5 * -1 + -1x * -1) + -3 -4 + 3x = 8 + (-5 + 1x) + -3 Reorder the terms: -4 + 3x = 8 + -5 + -3 + 1x Combine like terms: 8 + -5 = 3 -4 + 3x = 3 + -3 + 1x Combine like terms: 3 + -3 = 0 -4 + 3x = 0 + 1x -4 + 3x = 1x Solving -4 + 3x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 3x + -1x = 1x + -1x Combine like terms: 3x + -1x = 2x -4 + 2x = 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 2x = 0 Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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