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Simplifying 2(x + 1) + -7x = -1(x + -10) + (2x + 2) Reorder the terms: 2(1 + x) + -7x = -1(x + -10) + (2x + 2) (1 * 2 + x * 2) + -7x = -1(x + -10) + (2x + 2) (2 + 2x) + -7x = -1(x + -10) + (2x + 2) Combine like terms: 2x + -7x = -5x 2 + -5x = -1(x + -10) + (2x + 2) Reorder the terms: 2 + -5x = -1(-10 + x) + (2x + 2) 2 + -5x = (-10 * -1 + x * -1) + (2x + 2) 2 + -5x = (10 + -1x) + (2x + 2) Reorder the terms: 2 + -5x = 10 + -1x + (2 + 2x) Remove parenthesis around (2 + 2x) 2 + -5x = 10 + -1x + 2 + 2x Reorder the terms: 2 + -5x = 10 + 2 + -1x + 2x Combine like terms: 10 + 2 = 12 2 + -5x = 12 + -1x + 2x Combine like terms: -1x + 2x = 1x 2 + -5x = 12 + 1x Solving 2 + -5x = 12 + 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. 2 + -5x + -1x = 12 + 1x + -1x Combine like terms: -5x + -1x = -6x 2 + -6x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + -6x = 12 + 0 2 + -6x = 12 Add '-2' to each side of the equation. 2 + -2 + -6x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 12 + -2 -6x = 12 + -2 Combine like terms: 12 + -2 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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