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Simplifying 2(x + 3) + -4(x + -12) = 0 Reorder the terms: 2(3 + x) + -4(x + -12) = 0 (3 * 2 + x * 2) + -4(x + -12) = 0 (6 + 2x) + -4(x + -12) = 0 Reorder the terms: 6 + 2x + -4(-12 + x) = 0 6 + 2x + (-12 * -4 + x * -4) = 0 6 + 2x + (48 + -4x) = 0 Reorder the terms: 6 + 48 + 2x + -4x = 0 Combine like terms: 6 + 48 = 54 54 + 2x + -4x = 0 Combine like terms: 2x + -4x = -2x 54 + -2x = 0 Solving 54 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -2x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -2x = 0 + -54 -2x = 0 + -54 Combine like terms: 0 + -54 = -54 -2x = -54 Divide each side by '-2'. x = 27 Simplifying x = 27
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