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Simplifying -7x + 42 = -2(x + 4) Reorder the terms: 42 + -7x = -2(x + 4) Reorder the terms: 42 + -7x = -2(4 + x) 42 + -7x = (4 * -2 + x * -2) 42 + -7x = (-8 + -2x) Solving 42 + -7x = -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 + -7x + 2x = -8 + -2x + 2x Combine like terms: -7x + 2x = -5x 42 + -5x = -8 + -2x + 2x Combine like terms: -2x + 2x = 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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