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Simplifying 12(-2x + 3) + -4x + 17 = 0 Reorder the terms: 12(3 + -2x) + -4x + 17 = 0 (3 * 12 + -2x * 12) + -4x + 17 = 0 (36 + -24x) + -4x + 17 = 0 Reorder the terms: 36 + 17 + -24x + -4x = 0 Combine like terms: 36 + 17 = 53 53 + -24x + -4x = 0 Combine like terms: -24x + -4x = -28x 53 + -28x = 0 Solving 53 + -28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -28x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -28x = 0 + -53 -28x = 0 + -53 Combine like terms: 0 + -53 = -53 -28x = -53 Divide each side by '-28'. x = 1.892857143 Simplifying x = 1.892857143
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