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Simplifying 3(x + 8) + -3x = -2(-4x + 2) Reorder the terms: 3(8 + x) + -3x = -2(-4x + 2) (8 * 3 + x * 3) + -3x = -2(-4x + 2) (24 + 3x) + -3x = -2(-4x + 2) Combine like terms: 3x + -3x = 0 24 + 0 = -2(-4x + 2) 24 = -2(-4x + 2) Reorder the terms: 24 = -2(2 + -4x) 24 = (2 * -2 + -4x * -2) 24 = (-4 + 8x) Solving 24 = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + -8x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -8x = -4 + 0 24 + -8x = -4 Add '-24' to each side of the equation. 24 + -24 + -8x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = -4 + -24 -8x = -4 + -24 Combine like terms: -4 + -24 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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