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Simplifying -1x + 3 + 5 = 2x + -4(x + 1) Reorder the terms: 3 + 5 + -1x = 2x + -4(x + 1) Combine like terms: 3 + 5 = 8 8 + -1x = 2x + -4(x + 1) Reorder the terms: 8 + -1x = 2x + -4(1 + x) 8 + -1x = 2x + (1 * -4 + x * -4) 8 + -1x = 2x + (-4 + -4x) Reorder the terms: 8 + -1x = -4 + 2x + -4x Combine like terms: 2x + -4x = -2x 8 + -1x = -4 + -2x Solving 8 + -1x = -4 + -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. 8 + -1x + 2x = -4 + -2x + 2x Combine like terms: -1x + 2x = 1x 8 + 1x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 1x = -4 + 0 8 + 1x = -4 Add '-8' to each side of the equation. 8 + -8 + 1x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -4 + -8 1x = -4 + -8 Combine like terms: -4 + -8 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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