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Simplifying 8(x + -3) = -3x + 42 Reorder the terms: 8(-3 + x) = -3x + 42 (-3 * 8 + x * 8) = -3x + 42 (-24 + 8x) = -3x + 42 Reorder the terms: -24 + 8x = 42 + -3x Solving -24 + 8x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 8x + 3x = 42 + -3x + 3x Combine like terms: 8x + 3x = 11x -24 + 11x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 11x = 42 + 0 -24 + 11x = 42 Add '24' to each side of the equation. -24 + 24 + 11x = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 42 + 24 11x = 42 + 24 Combine like terms: 42 + 24 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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