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Simplifying 11 + -43 = 5(x + -1) + -7 Combine like terms: 11 + -43 = -32 -32 = 5(x + -1) + -7 Reorder the terms: -32 = 5(-1 + x) + -7 -32 = (-1 * 5 + x * 5) + -7 -32 = (-5 + 5x) + -7 Reorder the terms: -32 = -5 + -7 + 5x Combine like terms: -5 + -7 = -12 -32 = -12 + 5x Solving -32 = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + -5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + -5x = -12 + 0 -32 + -5x = -12 Add '32' to each side of the equation. -32 + 32 + -5x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = -12 + 32 -5x = -12 + 32 Combine like terms: -12 + 32 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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