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Simplifying 15x + -3(2x + -8) = 32 + 2(2x + 1) Reorder the terms: 15x + -3(-8 + 2x) = 32 + 2(2x + 1) 15x + (-8 * -3 + 2x * -3) = 32 + 2(2x + 1) 15x + (24 + -6x) = 32 + 2(2x + 1) Reorder the terms: 24 + 15x + -6x = 32 + 2(2x + 1) Combine like terms: 15x + -6x = 9x 24 + 9x = 32 + 2(2x + 1) Reorder the terms: 24 + 9x = 32 + 2(1 + 2x) 24 + 9x = 32 + (1 * 2 + 2x * 2) 24 + 9x = 32 + (2 + 4x) Combine like terms: 32 + 2 = 34 24 + 9x = 34 + 4x Solving 24 + 9x = 34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 9x + -4x = 34 + 4x + -4x Combine like terms: 9x + -4x = 5x 24 + 5x = 34 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 5x = 34 + 0 24 + 5x = 34 Add '-24' to each side of the equation. 24 + -24 + 5x = 34 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 34 + -24 5x = 34 + -24 Combine like terms: 34 + -24 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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