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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 = 19 19 + -16x + 15x = 8(1 + -1x) Combine like terms: -16x + 15x = -1x 19 + -1x = 8(1 + -1x) 19 + -1x = (1 * 8 + -1x * 8) 19 + -1x = (8 + -8x) Solving 19 + -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. 19 + -1x + 8x = 8 + -8x + 8x Combine like terms: -1x + 8x = 7x 19 + 7x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 19 + 7x = 8 + 0 19 + 7x = 8 Add '-19' to each side of the equation. 19 + -19 + 7x = 8 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 8 + -19 7x = 8 + -19 Combine like terms: 8 + -19 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571
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