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Simplifying x + -32 = -5(6x + -6) Reorder the terms: -32 + x = -5(6x + -6) Reorder the terms: -32 + x = -5(-6 + 6x) -32 + x = (-6 * -5 + 6x * -5) -32 + x = (30 + -30x) Solving -32 + x = 30 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -32 + x + 30x = 30 + -30x + 30x Combine like terms: x + 30x = 31x -32 + 31x = 30 + -30x + 30x Combine like terms: -30x + 30x = 0 -32 + 31x = 30 + 0 -32 + 31x = 30 Add '32' to each side of the equation. -32 + 32 + 31x = 30 + 32 Combine like terms: -32 + 32 = 0 0 + 31x = 30 + 32 31x = 30 + 32 Combine like terms: 30 + 32 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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