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Simplifying (2x + -5) + 7 = 6(x + -1) + -2x Reorder the terms: (-5 + 2x) + 7 = 6(x + -1) + -2x Remove parenthesis around (-5 + 2x) -5 + 2x + 7 = 6(x + -1) + -2x Reorder the terms: -5 + 7 + 2x = 6(x + -1) + -2x Combine like terms: -5 + 7 = 2 2 + 2x = 6(x + -1) + -2x Reorder the terms: 2 + 2x = 6(-1 + x) + -2x 2 + 2x = (-1 * 6 + x * 6) + -2x 2 + 2x = (-6 + 6x) + -2x Combine like terms: 6x + -2x = 4x 2 + 2x = -6 + 4x Solving 2 + 2x = -6 + 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. 2 + 2x + -4x = -6 + 4x + -4x Combine like terms: 2x + -4x = -2x 2 + -2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -2x = -6 + 0 2 + -2x = -6 Add '-2' to each side of the equation. 2 + -2 + -2x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -6 + -2 -2x = -6 + -2 Combine like terms: -6 + -2 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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