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Simplifying 23 + -14x = -5(6x + 5) + -5(-8 + -3x) Reorder the terms: 23 + -14x = -5(5 + 6x) + -5(-8 + -3x) 23 + -14x = (5 * -5 + 6x * -5) + -5(-8 + -3x) 23 + -14x = (-25 + -30x) + -5(-8 + -3x) 23 + -14x = -25 + -30x + (-8 * -5 + -3x * -5) 23 + -14x = -25 + -30x + (40 + 15x) Reorder the terms: 23 + -14x = -25 + 40 + -30x + 15x Combine like terms: -25 + 40 = 15 23 + -14x = 15 + -30x + 15x Combine like terms: -30x + 15x = -15x 23 + -14x = 15 + -15x Solving 23 + -14x = 15 + -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. 23 + -14x + 15x = 15 + -15x + 15x Combine like terms: -14x + 15x = 1x 23 + 1x = 15 + -15x + 15x Combine like terms: -15x + 15x = 0 23 + 1x = 15 + 0 23 + 1x = 15 Add '-23' to each side of the equation. 23 + -23 + 1x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 15 + -23 1x = 15 + -23 Combine like terms: 15 + -23 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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