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Simplifying 3(-2x + 8) = 4(x + 2) + -2 Reorder the terms: 3(8 + -2x) = 4(x + 2) + -2 (8 * 3 + -2x * 3) = 4(x + 2) + -2 (24 + -6x) = 4(x + 2) + -2 Reorder the terms: 24 + -6x = 4(2 + x) + -2 24 + -6x = (2 * 4 + x * 4) + -2 24 + -6x = (8 + 4x) + -2 Reorder the terms: 24 + -6x = 8 + -2 + 4x Combine like terms: 8 + -2 = 6 24 + -6x = 6 + 4x Solving 24 + -6x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + -6x + -4x = 6 + 4x + -4x Combine like terms: -6x + -4x = -10x 24 + -10x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -10x = 6 + 0 24 + -10x = 6 Add '-24' to each side of the equation. 24 + -24 + -10x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 6 + -24 -10x = 6 + -24 Combine like terms: 6 + -24 = -18 -10x = -18 Divide each side by '-10'. x = 1.8 Simplifying x = 1.8
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