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Simplifying -5(4x + -1) + 13 = 7 + -2(8 + x) Reorder the terms: -5(-1 + 4x) + 13 = 7 + -2(8 + x) (-1 * -5 + 4x * -5) + 13 = 7 + -2(8 + x) (5 + -20x) + 13 = 7 + -2(8 + x) Reorder the terms: 5 + 13 + -20x = 7 + -2(8 + x) Combine like terms: 5 + 13 = 18 18 + -20x = 7 + -2(8 + x) 18 + -20x = 7 + (8 * -2 + x * -2) 18 + -20x = 7 + (-16 + -2x) Combine like terms: 7 + -16 = -9 18 + -20x = -9 + -2x Solving 18 + -20x = -9 + -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. 18 + -20x + 2x = -9 + -2x + 2x Combine like terms: -20x + 2x = -18x 18 + -18x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -18x = -9 + 0 18 + -18x = -9 Add '-18' to each side of the equation. 18 + -18 + -18x = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -18x = -9 + -18 -18x = -9 + -18 Combine like terms: -9 + -18 = -27 -18x = -27 Divide each side by '-18'. x = 1.5 Simplifying x = 1.5
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