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Simplifying -5(x + 4) + -12 = 10 + 3 Reorder the terms: -5(4 + x) + -12 = 10 + 3 (4 * -5 + x * -5) + -12 = 10 + 3 (-20 + -5x) + -12 = 10 + 3 Reorder the terms: -20 + -12 + -5x = 10 + 3 Combine like terms: -20 + -12 = -32 -32 + -5x = 10 + 3 Combine like terms: 10 + 3 = 13 -32 + -5x = 13 Solving -32 + -5x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -5x = 13 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 13 + 32 -5x = 13 + 32 Combine like terms: 13 + 32 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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