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Simplifying 5 + 5(x + -7) = 1 + -8(x + -8) Reorder the terms: 5 + 5(-7 + x) = 1 + -8(x + -8) 5 + (-7 * 5 + x * 5) = 1 + -8(x + -8) 5 + (-35 + 5x) = 1 + -8(x + -8) Combine like terms: 5 + -35 = -30 -30 + 5x = 1 + -8(x + -8) Reorder the terms: -30 + 5x = 1 + -8(-8 + x) -30 + 5x = 1 + (-8 * -8 + x * -8) -30 + 5x = 1 + (64 + -8x) Combine like terms: 1 + 64 = 65 -30 + 5x = 65 + -8x Solving -30 + 5x = 65 + -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. -30 + 5x + 8x = 65 + -8x + 8x Combine like terms: 5x + 8x = 13x -30 + 13x = 65 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 13x = 65 + 0 -30 + 13x = 65 Add '30' to each side of the equation. -30 + 30 + 13x = 65 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = 65 + 30 13x = 65 + 30 Combine like terms: 65 + 30 = 95 13x = 95 Divide each side by '13'. x = 7.307692308 Simplifying x = 7.307692308
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