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