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Simplifying 19(2x + -3) + -12 = 14 + -1(-10x + 15) Reorder the terms: 19(-3 + 2x) + -12 = 14 + -1(-10x + 15) (-3 * 19 + 2x * 19) + -12 = 14 + -1(-10x + 15) (-57 + 38x) + -12 = 14 + -1(-10x + 15) Reorder the terms: -57 + -12 + 38x = 14 + -1(-10x + 15) Combine like terms: -57 + -12 = -69 -69 + 38x = 14 + -1(-10x + 15) Reorder the terms: -69 + 38x = 14 + -1(15 + -10x) -69 + 38x = 14 + (15 * -1 + -10x * -1) -69 + 38x = 14 + (-15 + 10x) Combine like terms: 14 + -15 = -1 -69 + 38x = -1 + 10x Solving -69 + 38x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -69 + 38x + -10x = -1 + 10x + -10x Combine like terms: 38x + -10x = 28x -69 + 28x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -69 + 28x = -1 + 0 -69 + 28x = -1 Add '69' to each side of the equation. -69 + 69 + 28x = -1 + 69 Combine like terms: -69 + 69 = 0 0 + 28x = -1 + 69 28x = -1 + 69 Combine like terms: -1 + 69 = 68 28x = 68 Divide each side by '28'. x = 2.428571429 Simplifying x = 2.428571429
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