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Simplifying 3(5 + 2x) = 45 + 8x (5 * 3 + 2x * 3) = 45 + 8x (15 + 6x) = 45 + 8x Solving 15 + 6x = 45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 6x + -8x = 45 + 8x + -8x Combine like terms: 6x + -8x = -2x 15 + -2x = 45 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -2x = 45 + 0 15 + -2x = 45 Add '-15' to each side of the equation. 15 + -15 + -2x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 45 + -15 -2x = 45 + -15 Combine like terms: 45 + -15 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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