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Simplifying 5x + -4(x + -6) + -2(x + 6) + 12 = 0 Reorder the terms: 5x + -4(-6 + x) + -2(x + 6) + 12 = 0 5x + (-6 * -4 + x * -4) + -2(x + 6) + 12 = 0 5x + (24 + -4x) + -2(x + 6) + 12 = 0 Reorder the terms: 5x + 24 + -4x + -2(6 + x) + 12 = 0 5x + 24 + -4x + (6 * -2 + x * -2) + 12 = 0 5x + 24 + -4x + (-12 + -2x) + 12 = 0 Reorder the terms: 24 + -12 + 12 + 5x + -4x + -2x = 0 Combine like terms: 24 + -12 = 12 12 + 12 + 5x + -4x + -2x = 0 Combine like terms: 12 + 12 = 24 24 + 5x + -4x + -2x = 0 Combine like terms: 5x + -4x = 1x 24 + 1x + -2x = 0 Combine like terms: 1x + -2x = -1x 24 + -1x = 0 Solving 24 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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