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Simplifying 5(2x + 8) = (3x + 6)(3) Reorder the terms: 5(8 + 2x) = (3x + 6)(3) (8 * 5 + 2x * 5) = (3x + 6)(3) (40 + 10x) = (3x + 6)(3) Reorder the terms: 40 + 10x = (6 + 3x)(3) Reorder the terms for easier multiplication: 40 + 10x = 3(6 + 3x) 40 + 10x = (6 * 3 + 3x * 3) 40 + 10x = (18 + 9x) Solving 40 + 10x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 40 + 10x + -9x = 18 + 9x + -9x Combine like terms: 10x + -9x = 1x 40 + 1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 40 + 1x = 18 + 0 40 + 1x = 18 Add '-40' to each side of the equation. 40 + -40 + 1x = 18 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 18 + -40 1x = 18 + -40 Combine like terms: 18 + -40 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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