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Simplifying 7(5x + -4) + -1 = 2(7 + -4x) Reorder the terms: 7(-4 + 5x) + -1 = 2(7 + -4x) (-4 * 7 + 5x * 7) + -1 = 2(7 + -4x) (-28 + 35x) + -1 = 2(7 + -4x) Reorder the terms: -28 + -1 + 35x = 2(7 + -4x) Combine like terms: -28 + -1 = -29 -29 + 35x = 2(7 + -4x) -29 + 35x = (7 * 2 + -4x * 2) -29 + 35x = (14 + -8x) Solving -29 + 35x = 14 + -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. -29 + 35x + 8x = 14 + -8x + 8x Combine like terms: 35x + 8x = 43x -29 + 43x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -29 + 43x = 14 + 0 -29 + 43x = 14 Add '29' to each side of the equation. -29 + 29 + 43x = 14 + 29 Combine like terms: -29 + 29 = 0 0 + 43x = 14 + 29 43x = 14 + 29 Combine like terms: 14 + 29 = 43 43x = 43 Divide each side by '43'. x = 1 Simplifying x = 1
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