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Simplifying 5(6x + -5) + -7 = -3x + -32 Reorder the terms: 5(-5 + 6x) + -7 = -3x + -32 (-5 * 5 + 6x * 5) + -7 = -3x + -32 (-25 + 30x) + -7 = -3x + -32 Reorder the terms: -25 + -7 + 30x = -3x + -32 Combine like terms: -25 + -7 = -32 -32 + 30x = -3x + -32 Reorder the terms: -32 + 30x = -32 + -3x Add '32' to each side of the equation. -32 + 32 + 30x = -32 + 32 + -3x Combine like terms: -32 + 32 = 0 0 + 30x = -32 + 32 + -3x 30x = -32 + 32 + -3x Combine like terms: -32 + 32 = 0 30x = 0 + -3x 30x = -3x Solving 30x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 30x + 3x = -3x + 3x Combine like terms: 30x + 3x = 33x 33x = -3x + 3x Combine like terms: -3x + 3x = 0 33x = 0 Divide each side by '33'. x = 0 Simplifying x = 0
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