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Simplifying -32 = 3(5x + -1) + 1 Reorder the terms: -32 = 3(-1 + 5x) + 1 -32 = (-1 * 3 + 5x * 3) + 1 -32 = (-3 + 15x) + 1 Reorder the terms: -32 = -3 + 1 + 15x Combine like terms: -3 + 1 = -2 -32 = -2 + 15x Solving -32 = -2 + 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 + -15x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 -32 + -15x = -2 + 0 -32 + -15x = -2 Add '32' to each side of the equation. -32 + 32 + -15x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + -15x = -2 + 32 -15x = -2 + 32 Combine like terms: -2 + 32 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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