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Simplifying 17 + -14x = -5(6x + 3) + -5(-4 + -3x) Reorder the terms: 17 + -14x = -5(3 + 6x) + -5(-4 + -3x) 17 + -14x = (3 * -5 + 6x * -5) + -5(-4 + -3x) 17 + -14x = (-15 + -30x) + -5(-4 + -3x) 17 + -14x = -15 + -30x + (-4 * -5 + -3x * -5) 17 + -14x = -15 + -30x + (20 + 15x) Reorder the terms: 17 + -14x = -15 + 20 + -30x + 15x Combine like terms: -15 + 20 = 5 17 + -14x = 5 + -30x + 15x Combine like terms: -30x + 15x = -15x 17 + -14x = 5 + -15x Solving 17 + -14x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 17 + -14x + 15x = 5 + -15x + 15x Combine like terms: -14x + 15x = 1x 17 + 1x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 17 + 1x = 5 + 0 17 + 1x = 5 Add '-17' to each side of the equation. 17 + -17 + 1x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 5 + -17 1x = 5 + -17 Combine like terms: 5 + -17 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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