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Simplifying 2(x + 2) + -3(x + 1) + 8 = 3x + -1 Reorder the terms: 2(2 + x) + -3(x + 1) + 8 = 3x + -1 (2 * 2 + x * 2) + -3(x + 1) + 8 = 3x + -1 (4 + 2x) + -3(x + 1) + 8 = 3x + -1 Reorder the terms: 4 + 2x + -3(1 + x) + 8 = 3x + -1 4 + 2x + (1 * -3 + x * -3) + 8 = 3x + -1 4 + 2x + (-3 + -3x) + 8 = 3x + -1 Reorder the terms: 4 + -3 + 8 + 2x + -3x = 3x + -1 Combine like terms: 4 + -3 = 1 1 + 8 + 2x + -3x = 3x + -1 Combine like terms: 1 + 8 = 9 9 + 2x + -3x = 3x + -1 Combine like terms: 2x + -3x = -1x 9 + -1x = 3x + -1 Reorder the terms: 9 + -1x = -1 + 3x Solving 9 + -1x = -1 + 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. 9 + -1x + -3x = -1 + 3x + -3x Combine like terms: -1x + -3x = -4x 9 + -4x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -4x = -1 + 0 9 + -4x = -1 Add '-9' to each side of the equation. 9 + -9 + -4x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -1 + -9 -4x = -1 + -9 Combine like terms: -1 + -9 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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