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Simplifying 12(-2x + 3) + -1(4x + 17) = 0 Reorder the terms: 12(3 + -2x) + -1(4x + 17) = 0 (3 * 12 + -2x * 12) + -1(4x + 17) = 0 (36 + -24x) + -1(4x + 17) = 0 Reorder the terms: 36 + -24x + -1(17 + 4x) = 0 36 + -24x + (17 * -1 + 4x * -1) = 0 36 + -24x + (-17 + -4x) = 0 Reorder the terms: 36 + -17 + -24x + -4x = 0 Combine like terms: 36 + -17 = 19 19 + -24x + -4x = 0 Combine like terms: -24x + -4x = -28x 19 + -28x = 0 Solving 19 + -28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -28x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -28x = 0 + -19 -28x = 0 + -19 Combine like terms: 0 + -19 = -19 -28x = -19 Divide each side by '-28'. x = 0.6785714286 Simplifying x = 0.6785714286
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