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Simplifying 1(5x + 1) + -2(6x + 7) = 8(1 + -1x) Reorder the terms: 1(1 + 5x) + -2(6x + 7) = 8(1 + -1x) (1 * 1 + 5x * 1) + -2(6x + 7) = 8(1 + -1x) (1 + 5x) + -2(6x + 7) = 8(1 + -1x) Reorder the terms: 1 + 5x + -2(7 + 6x) = 8(1 + -1x) 1 + 5x + (7 * -2 + 6x * -2) = 8(1 + -1x) 1 + 5x + (-14 + -12x) = 8(1 + -1x) Reorder the terms: 1 + -14 + 5x + -12x = 8(1 + -1x) Combine like terms: 1 + -14 = -13 -13 + 5x + -12x = 8(1 + -1x) Combine like terms: 5x + -12x = -7x -13 + -7x = 8(1 + -1x) -13 + -7x = (1 * 8 + -1x * 8) -13 + -7x = (8 + -8x) Solving -13 + -7x = 8 + -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. -13 + -7x + 8x = 8 + -8x + 8x Combine like terms: -7x + 8x = 1x -13 + 1x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 1x = 8 + 0 -13 + 1x = 8 Add '13' to each side of the equation. -13 + 13 + 1x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 8 + 13 1x = 8 + 13 Combine like terms: 8 + 13 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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