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Simplifying 7(x + -1) + 3(5x + 2) = 2x + -1(x + 7) Reorder the terms: 7(-1 + x) + 3(5x + 2) = 2x + -1(x + 7) (-1 * 7 + x * 7) + 3(5x + 2) = 2x + -1(x + 7) (-7 + 7x) + 3(5x + 2) = 2x + -1(x + 7) Reorder the terms: -7 + 7x + 3(2 + 5x) = 2x + -1(x + 7) -7 + 7x + (2 * 3 + 5x * 3) = 2x + -1(x + 7) -7 + 7x + (6 + 15x) = 2x + -1(x + 7) Reorder the terms: -7 + 6 + 7x + 15x = 2x + -1(x + 7) Combine like terms: -7 + 6 = -1 -1 + 7x + 15x = 2x + -1(x + 7) Combine like terms: 7x + 15x = 22x -1 + 22x = 2x + -1(x + 7) Reorder the terms: -1 + 22x = 2x + -1(7 + x) -1 + 22x = 2x + (7 * -1 + x * -1) -1 + 22x = 2x + (-7 + -1x) Reorder the terms: -1 + 22x = -7 + 2x + -1x Combine like terms: 2x + -1x = 1x -1 + 22x = -7 + 1x Solving -1 + 22x = -7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 22x + -1x = -7 + 1x + -1x Combine like terms: 22x + -1x = 21x -1 + 21x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 21x = -7 + 0 -1 + 21x = -7 Add '1' to each side of the equation. -1 + 1 + 21x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 21x = -7 + 1 21x = -7 + 1 Combine like terms: -7 + 1 = -6 21x = -6 Divide each side by '21'. x = -0.2857142857 Simplifying x = -0.2857142857
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