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Simplifying 14x + -4(x + -9) + 15 = -5(x + -6) + -9 Reorder the terms: 14x + -4(-9 + x) + 15 = -5(x + -6) + -9 14x + (-9 * -4 + x * -4) + 15 = -5(x + -6) + -9 14x + (36 + -4x) + 15 = -5(x + -6) + -9 Reorder the terms: 36 + 15 + 14x + -4x = -5(x + -6) + -9 Combine like terms: 36 + 15 = 51 51 + 14x + -4x = -5(x + -6) + -9 Combine like terms: 14x + -4x = 10x 51 + 10x = -5(x + -6) + -9 Reorder the terms: 51 + 10x = -5(-6 + x) + -9 51 + 10x = (-6 * -5 + x * -5) + -9 51 + 10x = (30 + -5x) + -9 Reorder the terms: 51 + 10x = 30 + -9 + -5x Combine like terms: 30 + -9 = 21 51 + 10x = 21 + -5x Solving 51 + 10x = 21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 51 + 10x + 5x = 21 + -5x + 5x Combine like terms: 10x + 5x = 15x 51 + 15x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 51 + 15x = 21 + 0 51 + 15x = 21 Add '-51' to each side of the equation. 51 + -51 + 15x = 21 + -51 Combine like terms: 51 + -51 = 0 0 + 15x = 21 + -51 15x = 21 + -51 Combine like terms: 21 + -51 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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