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Simplifying 8(x + -3) = 2(x + 9) Reorder the terms: 8(-3 + x) = 2(x + 9) (-3 * 8 + x * 8) = 2(x + 9) (-24 + 8x) = 2(x + 9) Reorder the terms: -24 + 8x = 2(9 + x) -24 + 8x = (9 * 2 + x * 2) -24 + 8x = (18 + 2x) Solving -24 + 8x = 18 + 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 = 18 + 2x + -2x Combine like terms: 8x + -2x = 6x -24 + 6x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 6x = 18 + 0 -24 + 6x = 18 Add '24' to each side of the equation. -24 + 24 + 6x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 18 + 24 6x = 18 + 24 Combine like terms: 18 + 24 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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