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Simplifying -32 + 8x = 3(5x + 8) Reorder the terms: -32 + 8x = 3(8 + 5x) -32 + 8x = (8 * 3 + 5x * 3) -32 + 8x = (24 + 15x) Solving -32 + 8x = 24 + 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. -32 + 8x + -15x = 24 + 15x + -15x Combine like terms: 8x + -15x = -7x -32 + -7x = 24 + 15x + -15x Combine like terms: 15x + -15x = 0 -32 + -7x = 24 + 0 -32 + -7x = 24 Add '32' to each side of the equation. -32 + 32 + -7x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = 24 + 32 -7x = 24 + 32 Combine like terms: 24 + 32 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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