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Simplifying -1(x + -8) + 4x = 2(x + -1) + -1(x + -3) Reorder the terms: -1(-8 + x) + 4x = 2(x + -1) + -1(x + -3) (-8 * -1 + x * -1) + 4x = 2(x + -1) + -1(x + -3) (8 + -1x) + 4x = 2(x + -1) + -1(x + -3) Combine like terms: -1x + 4x = 3x 8 + 3x = 2(x + -1) + -1(x + -3) Reorder the terms: 8 + 3x = 2(-1 + x) + -1(x + -3) 8 + 3x = (-1 * 2 + x * 2) + -1(x + -3) 8 + 3x = (-2 + 2x) + -1(x + -3) Reorder the terms: 8 + 3x = -2 + 2x + -1(-3 + x) 8 + 3x = -2 + 2x + (-3 * -1 + x * -1) 8 + 3x = -2 + 2x + (3 + -1x) Reorder the terms: 8 + 3x = -2 + 3 + 2x + -1x Combine like terms: -2 + 3 = 1 8 + 3x = 1 + 2x + -1x Combine like terms: 2x + -1x = 1x 8 + 3x = 1 + 1x Solving 8 + 3x = 1 + 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. 8 + 3x + -1x = 1 + 1x + -1x Combine like terms: 3x + -1x = 2x 8 + 2x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 2x = 1 + 0 8 + 2x = 1 Add '-8' to each side of the equation. 8 + -8 + 2x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 1 + -8 2x = 1 + -8 Combine like terms: 1 + -8 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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