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Simplifying 8(x + -3) = 2(3x + 4) Reorder the terms: 8(-3 + x) = 2(3x + 4) (-3 * 8 + x * 8) = 2(3x + 4) (-24 + 8x) = 2(3x + 4) Reorder the terms: -24 + 8x = 2(4 + 3x) -24 + 8x = (4 * 2 + 3x * 2) -24 + 8x = (8 + 6x) Solving -24 + 8x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x -24 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 2x = 8 + 0 -24 + 2x = 8 Add '24' to each side of the equation. -24 + 24 + 2x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 8 + 24 2x = 8 + 24 Combine like terms: 8 + 24 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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