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Simplifying 8(x + -7) + -1(2x + -1) = 5x Reorder the terms: 8(-7 + x) + -1(2x + -1) = 5x (-7 * 8 + x * 8) + -1(2x + -1) = 5x (-56 + 8x) + -1(2x + -1) = 5x Reorder the terms: -56 + 8x + -1(-1 + 2x) = 5x -56 + 8x + (-1 * -1 + 2x * -1) = 5x -56 + 8x + (1 + -2x) = 5x Reorder the terms: -56 + 1 + 8x + -2x = 5x Combine like terms: -56 + 1 = -55 -55 + 8x + -2x = 5x Combine like terms: 8x + -2x = 6x -55 + 6x = 5x Solving -55 + 6x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -55 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x -55 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 -55 + 1x = 0 Add '55' to each side of the equation. -55 + 55 + 1x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 1x = 0 + 55 1x = 0 + 55 Combine like terms: 0 + 55 = 55 1x = 55 Divide each side by '1'. x = 55 Simplifying x = 55
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