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Simplifying 3(x + 8) + -2x = 2(x + -5) + 4 Reorder the terms: 3(8 + x) + -2x = 2(x + -5) + 4 (8 * 3 + x * 3) + -2x = 2(x + -5) + 4 (24 + 3x) + -2x = 2(x + -5) + 4 Combine like terms: 3x + -2x = 1x 24 + 1x = 2(x + -5) + 4 Reorder the terms: 24 + 1x = 2(-5 + x) + 4 24 + 1x = (-5 * 2 + x * 2) + 4 24 + 1x = (-10 + 2x) + 4 Reorder the terms: 24 + 1x = -10 + 4 + 2x Combine like terms: -10 + 4 = -6 24 + 1x = -6 + 2x Solving 24 + 1x = -6 + 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 + 1x + -2x = -6 + 2x + -2x Combine like terms: 1x + -2x = -1x 24 + -1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -1x = -6 + 0 24 + -1x = -6 Add '-24' to each side of the equation. 24 + -24 + -1x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -6 + -24 -1x = -6 + -24 Combine like terms: -6 + -24 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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