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Simplifying 3x + 42 = 2(4x + -4) Reorder the terms: 42 + 3x = 2(4x + -4) Reorder the terms: 42 + 3x = 2(-4 + 4x) 42 + 3x = (-4 * 2 + 4x * 2) 42 + 3x = (-8 + 8x) Solving 42 + 3x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 3x + -8x = -8 + 8x + -8x Combine like terms: 3x + -8x = -5x 42 + -5x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -5x = -8 + 0 42 + -5x = -8 Add '-42' to each side of the equation. 42 + -42 + -5x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = -8 + -42 -5x = -8 + -42 Combine like terms: -8 + -42 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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