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Simplifying 2(x + -1) + 7 = 5(x + -3) + -4 Reorder the terms: 2(-1 + x) + 7 = 5(x + -3) + -4 (-1 * 2 + x * 2) + 7 = 5(x + -3) + -4 (-2 + 2x) + 7 = 5(x + -3) + -4 Reorder the terms: -2 + 7 + 2x = 5(x + -3) + -4 Combine like terms: -2 + 7 = 5 5 + 2x = 5(x + -3) + -4 Reorder the terms: 5 + 2x = 5(-3 + x) + -4 5 + 2x = (-3 * 5 + x * 5) + -4 5 + 2x = (-15 + 5x) + -4 Reorder the terms: 5 + 2x = -15 + -4 + 5x Combine like terms: -15 + -4 = -19 5 + 2x = -19 + 5x Solving 5 + 2x = -19 + 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. 5 + 2x + -5x = -19 + 5x + -5x Combine like terms: 2x + -5x = -3x 5 + -3x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -3x = -19 + 0 5 + -3x = -19 Add '-5' to each side of the equation. 5 + -5 + -3x = -19 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -19 + -5 -3x = -19 + -5 Combine like terms: -19 + -5 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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