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Simplifying 24(x + 9) + 4x + -1(12 + -2x) = 0 Reorder the terms: 24(9 + x) + 4x + -1(12 + -2x) = 0 (9 * 24 + x * 24) + 4x + -1(12 + -2x) = 0 (216 + 24x) + 4x + -1(12 + -2x) = 0 216 + 24x + 4x + (12 * -1 + -2x * -1) = 0 216 + 24x + 4x + (-12 + 2x) = 0 Reorder the terms: 216 + -12 + 24x + 4x + 2x = 0 Combine like terms: 216 + -12 = 204 204 + 24x + 4x + 2x = 0 Combine like terms: 24x + 4x = 28x 204 + 28x + 2x = 0 Combine like terms: 28x + 2x = 30x 204 + 30x = 0 Solving 204 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-204' to each side of the equation. 204 + -204 + 30x = 0 + -204 Combine like terms: 204 + -204 = 0 0 + 30x = 0 + -204 30x = 0 + -204 Combine like terms: 0 + -204 = -204 30x = -204 Divide each side by '30'. x = -6.8 Simplifying x = -6.8
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