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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 = 4x -42 + 4x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -42 + 4x = -30 + 0 -42 + 4x = -30 Add '42' to each side of the equation. -42 + 42 + 4x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = -30 + 42 4x = -30 + 42 Combine like terms: -30 + 42 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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