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Simplifying 3(2x + -1) + -1(7x + 9) = 8(x + 8) + -13 Reorder the terms: 3(-1 + 2x) + -1(7x + 9) = 8(x + 8) + -13 (-1 * 3 + 2x * 3) + -1(7x + 9) = 8(x + 8) + -13 (-3 + 6x) + -1(7x + 9) = 8(x + 8) + -13 Reorder the terms: -3 + 6x + -1(9 + 7x) = 8(x + 8) + -13 -3 + 6x + (9 * -1 + 7x * -1) = 8(x + 8) + -13 -3 + 6x + (-9 + -7x) = 8(x + 8) + -13 Reorder the terms: -3 + -9 + 6x + -7x = 8(x + 8) + -13 Combine like terms: -3 + -9 = -12 -12 + 6x + -7x = 8(x + 8) + -13 Combine like terms: 6x + -7x = -1x -12 + -1x = 8(x + 8) + -13 Reorder the terms: -12 + -1x = 8(8 + x) + -13 -12 + -1x = (8 * 8 + x * 8) + -13 -12 + -1x = (64 + 8x) + -13 Reorder the terms: -12 + -1x = 64 + -13 + 8x Combine like terms: 64 + -13 = 51 -12 + -1x = 51 + 8x Solving -12 + -1x = 51 + 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. -12 + -1x + -8x = 51 + 8x + -8x Combine like terms: -1x + -8x = -9x -12 + -9x = 51 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -9x = 51 + 0 -12 + -9x = 51 Add '12' to each side of the equation. -12 + 12 + -9x = 51 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 51 + 12 -9x = 51 + 12 Combine like terms: 51 + 12 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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