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Simplifying 5(x + 8) = 10(2x + -14) Reorder the terms: 5(8 + x) = 10(2x + -14) (8 * 5 + x * 5) = 10(2x + -14) (40 + 5x) = 10(2x + -14) Reorder the terms: 40 + 5x = 10(-14 + 2x) 40 + 5x = (-14 * 10 + 2x * 10) 40 + 5x = (-140 + 20x) Solving 40 + 5x = -140 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 40 + 5x + -20x = -140 + 20x + -20x Combine like terms: 5x + -20x = -15x 40 + -15x = -140 + 20x + -20x Combine like terms: 20x + -20x = 0 40 + -15x = -140 + 0 40 + -15x = -140 Add '-40' to each side of the equation. 40 + -40 + -15x = -140 + -40 Combine like terms: 40 + -40 = 0 0 + -15x = -140 + -40 -15x = -140 + -40 Combine like terms: -140 + -40 = -180 -15x = -180 Divide each side by '-15'. x = 12 Simplifying x = 12
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