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Simplifying 8(x + -3) = 2(x + 4) Reorder the terms: 8(-3 + x) = 2(x + 4) (-3 * 8 + x * 8) = 2(x + 4) (-24 + 8x) = 2(x + 4) Reorder the terms: -24 + 8x = 2(4 + x) -24 + 8x = (4 * 2 + x * 2) -24 + 8x = (8 + 2x) Solving -24 + 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. -24 + 8x + -2x = 8 + 2x + -2x Combine like terms: 8x + -2x = 6x -24 + 6x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 6x = 8 + 0 -24 + 6x = 8 Add '24' to each side of the equation. -24 + 24 + 6x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 8 + 24 6x = 8 + 24 Combine like terms: 8 + 24 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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