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Simplifying 3(x + 4) + -4(x + -5) = 63 Reorder the terms: 3(4 + x) + -4(x + -5) = 63 (4 * 3 + x * 3) + -4(x + -5) = 63 (12 + 3x) + -4(x + -5) = 63 Reorder the terms: 12 + 3x + -4(-5 + x) = 63 12 + 3x + (-5 * -4 + x * -4) = 63 12 + 3x + (20 + -4x) = 63 Reorder the terms: 12 + 20 + 3x + -4x = 63 Combine like terms: 12 + 20 = 32 32 + 3x + -4x = 63 Combine like terms: 3x + -4x = -1x 32 + -1x = 63 Solving 32 + -1x = 63 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 + -1x = 63 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 63 + -32 -1x = 63 + -32 Combine like terms: 63 + -32 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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