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Simplifying 14x + -42 = -2(5x + -15) Reorder the terms: -42 + 14x = -2(5x + -15) Reorder the terms: -42 + 14x = -2(-15 + 5x) -42 + 14x = (-15 * -2 + 5x * -2) -42 + 14x = (30 + -10x) Solving -42 + 14x = 30 + -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. -42 + 14x + 10x = 30 + -10x + 10x Combine like terms: 14x + 10x = 24x -42 + 24x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -42 + 24x = 30 + 0 -42 + 24x = 30 Add '42' to each side of the equation. -42 + 42 + 24x = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 24x = 30 + 42 24x = 30 + 42 Combine like terms: 30 + 42 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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