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Simplifying 8(3 + -2x) + 5(3x + 1) = 8(1 + -1x) (3 * 8 + -2x * 8) + 5(3x + 1) = 8(1 + -1x) (24 + -16x) + 5(3x + 1) = 8(1 + -1x) Reorder the terms: 24 + -16x + 5(1 + 3x) = 8(1 + -1x) 24 + -16x + (1 * 5 + 3x * 5) = 8(1 + -1x) 24 + -16x + (5 + 15x) = 8(1 + -1x) Reorder the terms: 24 + 5 + -16x + 15x = 8(1 + -1x) Combine like terms: 24 + 5 = 29 29 + -16x + 15x = 8(1 + -1x) Combine like terms: -16x + 15x = -1x 29 + -1x = 8(1 + -1x) 29 + -1x = (1 * 8 + -1x * 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 = 7x 29 + 7x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 29 + 7x = 8 + 0 29 + 7x = 8 Add '-29' to each side of the equation. 29 + -29 + 7x = 8 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = 8 + -29 7x = 8 + -29 Combine like terms: 8 + -29 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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