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Simplifying -5 + 3(6x + 5) = 40 + 8x Reorder the terms: -5 + 3(5 + 6x) = 40 + 8x -5 + (5 * 3 + 6x * 3) = 40 + 8x -5 + (15 + 18x) = 40 + 8x Combine like terms: -5 + 15 = 10 10 + 18x = 40 + 8x Solving 10 + 18x = 40 + 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. 10 + 18x + -8x = 40 + 8x + -8x Combine like terms: 18x + -8x = 10x 10 + 10x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 10x = 40 + 0 10 + 10x = 40 Add '-10' to each side of the equation. 10 + -10 + 10x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 40 + -10 10x = 40 + -10 Combine like terms: 40 + -10 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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