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Simplifying (5x + 1) * 8 = (5x + -11) * 12 Reorder the terms: (1 + 5x) * 8 = (5x + -11) * 12 Reorder the terms for easier multiplication: 8(1 + 5x) = (5x + -11) * 12 (1 * 8 + 5x * 8) = (5x + -11) * 12 (8 + 40x) = (5x + -11) * 12 Reorder the terms: 8 + 40x = (-11 + 5x) * 12 Reorder the terms for easier multiplication: 8 + 40x = 12(-11 + 5x) 8 + 40x = (-11 * 12 + 5x * 12) 8 + 40x = (-132 + 60x) Solving 8 + 40x = -132 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 8 + 40x + -60x = -132 + 60x + -60x Combine like terms: 40x + -60x = -20x 8 + -20x = -132 + 60x + -60x Combine like terms: 60x + -60x = 0 8 + -20x = -132 + 0 8 + -20x = -132 Add '-8' to each side of the equation. 8 + -8 + -20x = -132 + -8 Combine like terms: 8 + -8 = 0 0 + -20x = -132 + -8 -20x = -132 + -8 Combine like terms: -132 + -8 = -140 -20x = -140 Divide each side by '-20'. x = 7 Simplifying x = 7
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