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Simplifying 8(3 + -2x) + 5(3x + 1) = 8(x + 1) (3 * 8 + -2x * 8) + 5(3x + 1) = 8(x + 1) (24 + -16x) + 5(3x + 1) = 8(x + 1) Reorder the terms: 24 + -16x + 5(1 + 3x) = 8(x + 1) 24 + -16x + (1 * 5 + 3x * 5) = 8(x + 1) 24 + -16x + (5 + 15x) = 8(x + 1) Reorder the terms: 24 + 5 + -16x + 15x = 8(x + 1) Combine like terms: 24 + 5 = 29 29 + -16x + 15x = 8(x + 1) Combine like terms: -16x + 15x = -1x 29 + -1x = 8(x + 1) Reorder the terms: 29 + -1x = 8(1 + x) 29 + -1x = (1 * 8 + x * 8) 29 + -1x = (8 + 8x) Solving 29 + -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. 29 + -1x + -8x = 8 + 8x + -8x Combine like terms: -1x + -8x = -9x 29 + -9x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 29 + -9x = 8 + 0 29 + -9x = 8 Add '-29' to each side of the equation. 29 + -29 + -9x = 8 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = 8 + -29 -9x = 8 + -29 Combine like terms: 8 + -29 = -21 -9x = -21 Divide each side by '-9'. x = 2.333333333 Simplifying x = 2.333333333
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