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Simplifying -3(x + 3) + -4(x + -6) = 64 Reorder the terms: -3(3 + x) + -4(x + -6) = 64 (3 * -3 + x * -3) + -4(x + -6) = 64 (-9 + -3x) + -4(x + -6) = 64 Reorder the terms: -9 + -3x + -4(-6 + x) = 64 -9 + -3x + (-6 * -4 + x * -4) = 64 -9 + -3x + (24 + -4x) = 64 Reorder the terms: -9 + 24 + -3x + -4x = 64 Combine like terms: -9 + 24 = 15 15 + -3x + -4x = 64 Combine like terms: -3x + -4x = -7x 15 + -7x = 64 Solving 15 + -7x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7x = 64 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 64 + -15 -7x = 64 + -15 Combine like terms: 64 + -15 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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