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Simplifying 2(x + 5) + -35 = 6x + -1(2x + -1) Reorder the terms: 2(5 + x) + -35 = 6x + -1(2x + -1) (5 * 2 + x * 2) + -35 = 6x + -1(2x + -1) (10 + 2x) + -35 = 6x + -1(2x + -1) Reorder the terms: 10 + -35 + 2x = 6x + -1(2x + -1) Combine like terms: 10 + -35 = -25 -25 + 2x = 6x + -1(2x + -1) Reorder the terms: -25 + 2x = 6x + -1(-1 + 2x) -25 + 2x = 6x + (-1 * -1 + 2x * -1) -25 + 2x = 6x + (1 + -2x) Reorder the terms: -25 + 2x = 1 + 6x + -2x Combine like terms: 6x + -2x = 4x -25 + 2x = 1 + 4x Solving -25 + 2x = 1 + 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. -25 + 2x + -4x = 1 + 4x + -4x Combine like terms: 2x + -4x = -2x -25 + -2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + -2x = 1 + 0 -25 + -2x = 1 Add '25' to each side of the equation. -25 + 25 + -2x = 1 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 1 + 25 -2x = 1 + 25 Combine like terms: 1 + 25 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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