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Simplifying 8x + -42 = -2(x + -4) Reorder the terms: -42 + 8x = -2(x + -4) Reorder the terms: -42 + 8x = -2(-4 + x) -42 + 8x = (-4 * -2 + x * -2) -42 + 8x = (8 + -2x) Solving -42 + 8x = 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 + 8x + 2x = 8 + -2x + 2x Combine like terms: 8x + 2x = 10x -42 + 10x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 10x = 8 + 0 -42 + 10x = 8 Add '42' to each side of the equation. -42 + 42 + 10x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 8 + 42 10x = 8 + 42 Combine like terms: 8 + 42 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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