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Simplifying -8(2 + -3(x + 1)) = 15x + 8 Reorder the terms: -8(2 + -3(1 + x)) = 15x + 8 -8(2 + (1 * -3 + x * -3)) = 15x + 8 -8(2 + (-3 + -3x)) = 15x + 8 Combine like terms: 2 + -3 = -1 -8(-1 + -3x) = 15x + 8 (-1 * -8 + -3x * -8) = 15x + 8 (8 + 24x) = 15x + 8 Reorder the terms: 8 + 24x = 8 + 15x Add '-8' to each side of the equation. 8 + -8 + 24x = 8 + -8 + 15x Combine like terms: 8 + -8 = 0 0 + 24x = 8 + -8 + 15x 24x = 8 + -8 + 15x Combine like terms: 8 + -8 = 0 24x = 0 + 15x 24x = 15x Solving 24x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24x + -15x = 15x + -15x Combine like terms: 24x + -15x = 9x 9x = 15x + -15x Combine like terms: 15x + -15x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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