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Simplifying 3x + 42 = 2(x + -4) Reorder the terms: 42 + 3x = 2(x + -4) Reorder the terms: 42 + 3x = 2(-4 + x) 42 + 3x = (-4 * 2 + x * 2) 42 + 3x = (-8 + 2x) Solving 42 + 3x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 3x + -2x = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x 42 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 1x = -8 + 0 42 + 1x = -8 Add '-42' to each side of the equation. 42 + -42 + 1x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = -8 + -42 1x = -8 + -42 Combine like terms: -8 + -42 = -50 1x = -50 Divide each side by '1'. x = -50 Simplifying x = -50
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