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Simplifying 7(x + 3) + -12(x + -12) = 0 Reorder the terms: 7(3 + x) + -12(x + -12) = 0 (3 * 7 + x * 7) + -12(x + -12) = 0 (21 + 7x) + -12(x + -12) = 0 Reorder the terms: 21 + 7x + -12(-12 + x) = 0 21 + 7x + (-12 * -12 + x * -12) = 0 21 + 7x + (144 + -12x) = 0 Reorder the terms: 21 + 144 + 7x + -12x = 0 Combine like terms: 21 + 144 = 165 165 + 7x + -12x = 0 Combine like terms: 7x + -12x = -5x 165 + -5x = 0 Solving 165 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-165' to each side of the equation. 165 + -165 + -5x = 0 + -165 Combine like terms: 165 + -165 = 0 0 + -5x = 0 + -165 -5x = 0 + -165 Combine like terms: 0 + -165 = -165 -5x = -165 Divide each side by '-5'. x = 33 Simplifying x = 33
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