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Simplifying (2x + 5) + -3x = 8(x + 1) Reorder the terms: (5 + 2x) + -3x = 8(x + 1) Remove parenthesis around (5 + 2x) 5 + 2x + -3x = 8(x + 1) Combine like terms: 2x + -3x = -1x 5 + -1x = 8(x + 1) Reorder the terms: 5 + -1x = 8(1 + x) 5 + -1x = (1 * 8 + x * 8) 5 + -1x = (8 + 8x) Solving 5 + -1x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + -1x + -8x = 8 + 8x + -8x Combine like terms: -1x + -8x = -9x 5 + -9x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -9x = 8 + 0 5 + -9x = 8 Add '-5' to each side of the equation. 5 + -5 + -9x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 8 + -5 -9x = 8 + -5 Combine like terms: 8 + -5 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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