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Simplifying 8x + 5 + -3(-3x + -1) = 7(x + -1) Reorder the terms: 8x + 5 + -3(-1 + -3x) = 7(x + -1) 8x + 5 + (-1 * -3 + -3x * -3) = 7(x + -1) 8x + 5 + (3 + 9x) = 7(x + -1) Reorder the terms: 5 + 3 + 8x + 9x = 7(x + -1) Combine like terms: 5 + 3 = 8 8 + 8x + 9x = 7(x + -1) Combine like terms: 8x + 9x = 17x 8 + 17x = 7(x + -1) Reorder the terms: 8 + 17x = 7(-1 + x) 8 + 17x = (-1 * 7 + x * 7) 8 + 17x = (-7 + 7x) Solving 8 + 17x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 17x + -7x = -7 + 7x + -7x Combine like terms: 17x + -7x = 10x 8 + 10x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 10x = -7 + 0 8 + 10x = -7 Add '-8' to each side of the equation. 8 + -8 + 10x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -7 + -8 10x = -7 + -8 Combine like terms: -7 + -8 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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