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Simplifying -7(x + 6) + 2(8x + -7) = 8(x + -4) + -5 Reorder the terms: -7(6 + x) + 2(8x + -7) = 8(x + -4) + -5 (6 * -7 + x * -7) + 2(8x + -7) = 8(x + -4) + -5 (-42 + -7x) + 2(8x + -7) = 8(x + -4) + -5 Reorder the terms: -42 + -7x + 2(-7 + 8x) = 8(x + -4) + -5 -42 + -7x + (-7 * 2 + 8x * 2) = 8(x + -4) + -5 -42 + -7x + (-14 + 16x) = 8(x + -4) + -5 Reorder the terms: -42 + -14 + -7x + 16x = 8(x + -4) + -5 Combine like terms: -42 + -14 = -56 -56 + -7x + 16x = 8(x + -4) + -5 Combine like terms: -7x + 16x = 9x -56 + 9x = 8(x + -4) + -5 Reorder the terms: -56 + 9x = 8(-4 + x) + -5 -56 + 9x = (-4 * 8 + x * 8) + -5 -56 + 9x = (-32 + 8x) + -5 Reorder the terms: -56 + 9x = -32 + -5 + 8x Combine like terms: -32 + -5 = -37 -56 + 9x = -37 + 8x Solving -56 + 9x = -37 + 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. -56 + 9x + -8x = -37 + 8x + -8x Combine like terms: 9x + -8x = 1x -56 + 1x = -37 + 8x + -8x Combine like terms: 8x + -8x = 0 -56 + 1x = -37 + 0 -56 + 1x = -37 Add '56' to each side of the equation. -56 + 56 + 1x = -37 + 56 Combine like terms: -56 + 56 = 0 0 + 1x = -37 + 56 1x = -37 + 56 Combine like terms: -37 + 56 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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