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Simplifying 8(x + -3) = 2x + -42 Reorder the terms: 8(-3 + x) = 2x + -42 (-3 * 8 + x * 8) = 2x + -42 (-24 + 8x) = 2x + -42 Reorder the terms: -24 + 8x = -42 + 2x Solving -24 + 8x = -42 + 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. -24 + 8x + -2x = -42 + 2x + -2x Combine like terms: 8x + -2x = 6x -24 + 6x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 6x = -42 + 0 -24 + 6x = -42 Add '24' to each side of the equation. -24 + 24 + 6x = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = -42 + 24 6x = -42 + 24 Combine like terms: -42 + 24 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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