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Simplifying 5(x + -10) = 8(x + -7) + -1(x + -1) Reorder the terms: 5(-10 + x) = 8(x + -7) + -1(x + -1) (-10 * 5 + x * 5) = 8(x + -7) + -1(x + -1) (-50 + 5x) = 8(x + -7) + -1(x + -1) Reorder the terms: -50 + 5x = 8(-7 + x) + -1(x + -1) -50 + 5x = (-7 * 8 + x * 8) + -1(x + -1) -50 + 5x = (-56 + 8x) + -1(x + -1) Reorder the terms: -50 + 5x = -56 + 8x + -1(-1 + x) -50 + 5x = -56 + 8x + (-1 * -1 + x * -1) -50 + 5x = -56 + 8x + (1 + -1x) Reorder the terms: -50 + 5x = -56 + 1 + 8x + -1x Combine like terms: -56 + 1 = -55 -50 + 5x = -55 + 8x + -1x Combine like terms: 8x + -1x = 7x -50 + 5x = -55 + 7x Solving -50 + 5x = -55 + 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. -50 + 5x + -7x = -55 + 7x + -7x Combine like terms: 5x + -7x = -2x -50 + -2x = -55 + 7x + -7x Combine like terms: 7x + -7x = 0 -50 + -2x = -55 + 0 -50 + -2x = -55 Add '50' to each side of the equation. -50 + 50 + -2x = -55 + 50 Combine like terms: -50 + 50 = 0 0 + -2x = -55 + 50 -2x = -55 + 50 Combine like terms: -55 + 50 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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