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Simplifying 8x + -42 = -2(x + 1) Reorder the terms: -42 + 8x = -2(x + 1) Reorder the terms: -42 + 8x = -2(1 + x) -42 + 8x = (1 * -2 + x * -2) -42 + 8x = (-2 + -2x) Solving -42 + 8x = -2 + -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 = -2 + -2x + 2x Combine like terms: 8x + 2x = 10x -42 + 10x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 10x = -2 + 0 -42 + 10x = -2 Add '42' to each side of the equation. -42 + 42 + 10x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = -2 + 42 10x = -2 + 42 Combine like terms: -2 + 42 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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