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Simplifying -9(x + -4) + 2(7x + -7) = 4(x + -1) + -3 Reorder the terms: -9(-4 + x) + 2(7x + -7) = 4(x + -1) + -3 (-4 * -9 + x * -9) + 2(7x + -7) = 4(x + -1) + -3 (36 + -9x) + 2(7x + -7) = 4(x + -1) + -3 Reorder the terms: 36 + -9x + 2(-7 + 7x) = 4(x + -1) + -3 36 + -9x + (-7 * 2 + 7x * 2) = 4(x + -1) + -3 36 + -9x + (-14 + 14x) = 4(x + -1) + -3 Reorder the terms: 36 + -14 + -9x + 14x = 4(x + -1) + -3 Combine like terms: 36 + -14 = 22 22 + -9x + 14x = 4(x + -1) + -3 Combine like terms: -9x + 14x = 5x 22 + 5x = 4(x + -1) + -3 Reorder the terms: 22 + 5x = 4(-1 + x) + -3 22 + 5x = (-1 * 4 + x * 4) + -3 22 + 5x = (-4 + 4x) + -3 Reorder the terms: 22 + 5x = -4 + -3 + 4x Combine like terms: -4 + -3 = -7 22 + 5x = -7 + 4x Solving 22 + 5x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 22 + 5x + -4x = -7 + 4x + -4x Combine like terms: 5x + -4x = 1x 22 + 1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 1x = -7 + 0 22 + 1x = -7 Add '-22' to each side of the equation. 22 + -22 + 1x = -7 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = -7 + -22 1x = -7 + -22 Combine like terms: -7 + -22 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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