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Simplifying 4x + 10 + -1[5x + -1[7(x + -1) + -5]] = 2(x + -7) Reorder the terms: 4x + 10 + -1[5x + -1[7(-1 + x) + -5]] = 2(x + -7) 4x + 10 + -1[5x + -1[(-1 * 7 + x * 7) + -5]] = 2(x + -7) 4x + 10 + -1[5x + -1[(-7 + 7x) + -5]] = 2(x + -7) Reorder the terms: 4x + 10 + -1[5x + -1[-7 + -5 + 7x]] = 2(x + -7) Combine like terms: -7 + -5 = -12 4x + 10 + -1[5x + -1[-12 + 7x]] = 2(x + -7) 4x + 10 + -1[5x + [-12 * -1 + 7x * -1]] = 2(x + -7) 4x + 10 + -1[5x + [12 + -7x]] = 2(x + -7) Reorder the terms: 4x + 10 + -1[12 + 5x + -7x] = 2(x + -7) Combine like terms: 5x + -7x = -2x 4x + 10 + -1[12 + -2x] = 2(x + -7) 4x + 10 + [12 * -1 + -2x * -1] = 2(x + -7) 4x + 10 + [-12 + 2x] = 2(x + -7) Reorder the terms: 10 + -12 + 4x + 2x = 2(x + -7) Combine like terms: 10 + -12 = -2 -2 + 4x + 2x = 2(x + -7) Combine like terms: 4x + 2x = 6x -2 + 6x = 2(x + -7) Reorder the terms: -2 + 6x = 2(-7 + x) -2 + 6x = (-7 * 2 + x * 2) -2 + 6x = (-14 + 2x) Solving -2 + 6x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 6x + -2x = -14 + 2x + -2x Combine like terms: 6x + -2x = 4x -2 + 4x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 4x = -14 + 0 -2 + 4x = -14 Add '2' to each side of the equation. -2 + 2 + 4x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -14 + 2 4x = -14 + 2 Combine like terms: -14 + 2 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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