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Simplifying 2x + -1(x + -1) = 5(x + -3) Reorder the terms: 2x + -1(-1 + x) = 5(x + -3) 2x + (-1 * -1 + x * -1) = 5(x + -3) 2x + (1 + -1x) = 5(x + -3) Reorder the terms: 1 + 2x + -1x = 5(x + -3) Combine like terms: 2x + -1x = 1x 1 + 1x = 5(x + -3) Reorder the terms: 1 + 1x = 5(-3 + x) 1 + 1x = (-3 * 5 + x * 5) 1 + 1x = (-15 + 5x) Solving 1 + 1x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 1x + -5x = -15 + 5x + -5x Combine like terms: 1x + -5x = -4x 1 + -4x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -4x = -15 + 0 1 + -4x = -15 Add '-1' to each side of the equation. 1 + -1 + -4x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -15 + -1 -4x = -15 + -1 Combine like terms: -15 + -1 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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