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Simplifying 32 = -2(-3 + 7x) + 6(x + -5) 32 = (-3 * -2 + 7x * -2) + 6(x + -5) 32 = (6 + -14x) + 6(x + -5) Reorder the terms: 32 = 6 + -14x + 6(-5 + x) 32 = 6 + -14x + (-5 * 6 + x * 6) 32 = 6 + -14x + (-30 + 6x) Reorder the terms: 32 = 6 + -30 + -14x + 6x Combine like terms: 6 + -30 = -24 32 = -24 + -14x + 6x Combine like terms: -14x + 6x = -8x 32 = -24 + -8x Solving 32 = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 32 + 8x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + 8x = -24 + 0 32 + 8x = -24 Add '-32' to each side of the equation. 32 + -32 + 8x = -24 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -24 + -32 8x = -24 + -32 Combine like terms: -24 + -32 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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