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Simplifying 2(x + -5) + 1 = 8x + -1(x + -7) Reorder the terms: 2(-5 + x) + 1 = 8x + -1(x + -7) (-5 * 2 + x * 2) + 1 = 8x + -1(x + -7) (-10 + 2x) + 1 = 8x + -1(x + -7) Reorder the terms: -10 + 1 + 2x = 8x + -1(x + -7) Combine like terms: -10 + 1 = -9 -9 + 2x = 8x + -1(x + -7) Reorder the terms: -9 + 2x = 8x + -1(-7 + x) -9 + 2x = 8x + (-7 * -1 + x * -1) -9 + 2x = 8x + (7 + -1x) Reorder the terms: -9 + 2x = 7 + 8x + -1x Combine like terms: 8x + -1x = 7x -9 + 2x = 7 + 7x Solving -9 + 2x = 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. -9 + 2x + -7x = 7 + 7x + -7x Combine like terms: 2x + -7x = -5x -9 + -5x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -5x = 7 + 0 -9 + -5x = 7 Add '9' to each side of the equation. -9 + 9 + -5x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 7 + 9 -5x = 7 + 9 Combine like terms: 7 + 9 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2
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