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Simplifying 2x + -4 + 3x + -8 = 3(x + 1) Reorder the terms: -4 + -8 + 2x + 3x = 3(x + 1) Combine like terms: -4 + -8 = -12 -12 + 2x + 3x = 3(x + 1) Combine like terms: 2x + 3x = 5x -12 + 5x = 3(x + 1) Reorder the terms: -12 + 5x = 3(1 + x) -12 + 5x = (1 * 3 + x * 3) -12 + 5x = (3 + 3x) Solving -12 + 5x = 3 + 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. -12 + 5x + -3x = 3 + 3x + -3x Combine like terms: 5x + -3x = 2x -12 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 2x = 3 + 0 -12 + 2x = 3 Add '12' to each side of the equation. -12 + 12 + 2x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 3 + 12 2x = 3 + 12 Combine like terms: 3 + 12 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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