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Simplifying 5(2 + -3x) + -1(1 + 7x) = 5(3 + -6x) (2 * 5 + -3x * 5) + -1(1 + 7x) = 5(3 + -6x) (10 + -15x) + -1(1 + 7x) = 5(3 + -6x) 10 + -15x + (1 * -1 + 7x * -1) = 5(3 + -6x) 10 + -15x + (-1 + -7x) = 5(3 + -6x) Reorder the terms: 10 + -1 + -15x + -7x = 5(3 + -6x) Combine like terms: 10 + -1 = 9 9 + -15x + -7x = 5(3 + -6x) Combine like terms: -15x + -7x = -22x 9 + -22x = 5(3 + -6x) 9 + -22x = (3 * 5 + -6x * 5) 9 + -22x = (15 + -30x) Solving 9 + -22x = 15 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 9 + -22x + 30x = 15 + -30x + 30x Combine like terms: -22x + 30x = 8x 9 + 8x = 15 + -30x + 30x Combine like terms: -30x + 30x = 0 9 + 8x = 15 + 0 9 + 8x = 15 Add '-9' to each side of the equation. 9 + -9 + 8x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 15 + -9 8x = 15 + -9 Combine like terms: 15 + -9 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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