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Simplifying 2(x + -3) + 8 = 3(4 + -1x) Reorder the terms: 2(-3 + x) + 8 = 3(4 + -1x) (-3 * 2 + x * 2) + 8 = 3(4 + -1x) (-6 + 2x) + 8 = 3(4 + -1x) Reorder the terms: -6 + 8 + 2x = 3(4 + -1x) Combine like terms: -6 + 8 = 2 2 + 2x = 3(4 + -1x) 2 + 2x = (4 * 3 + -1x * 3) 2 + 2x = (12 + -3x) Solving 2 + 2x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 2x + 3x = 12 + -3x + 3x Combine like terms: 2x + 3x = 5x 2 + 5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 5x = 12 + 0 2 + 5x = 12 Add '-2' to each side of the equation. 2 + -2 + 5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 12 + -2 5x = 12 + -2 Combine like terms: 12 + -2 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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