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Simplifying 2x + -6(x + -1) = 7 + 2(x + 2) Reorder the terms: 2x + -6(-1 + x) = 7 + 2(x + 2) 2x + (-1 * -6 + x * -6) = 7 + 2(x + 2) 2x + (6 + -6x) = 7 + 2(x + 2) Reorder the terms: 6 + 2x + -6x = 7 + 2(x + 2) Combine like terms: 2x + -6x = -4x 6 + -4x = 7 + 2(x + 2) Reorder the terms: 6 + -4x = 7 + 2(2 + x) 6 + -4x = 7 + (2 * 2 + x * 2) 6 + -4x = 7 + (4 + 2x) Combine like terms: 7 + 4 = 11 6 + -4x = 11 + 2x Solving 6 + -4x = 11 + 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. 6 + -4x + -2x = 11 + 2x + -2x Combine like terms: -4x + -2x = -6x 6 + -6x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -6x = 11 + 0 6 + -6x = 11 Add '-6' to each side of the equation. 6 + -6 + -6x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 11 + -6 -6x = 11 + -6 Combine like terms: 11 + -6 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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