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Simplifying 5x + -7(x + -1) + -5 = 2(x + -6) Reorder the terms: 5x + -7(-1 + x) + -5 = 2(x + -6) 5x + (-1 * -7 + x * -7) + -5 = 2(x + -6) 5x + (7 + -7x) + -5 = 2(x + -6) Reorder the terms: 7 + -5 + 5x + -7x = 2(x + -6) Combine like terms: 7 + -5 = 2 2 + 5x + -7x = 2(x + -6) Combine like terms: 5x + -7x = -2x 2 + -2x = 2(x + -6) Reorder the terms: 2 + -2x = 2(-6 + x) 2 + -2x = (-6 * 2 + x * 2) 2 + -2x = (-12 + 2x) Solving 2 + -2x = -12 + 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 + -2x + -2x = -12 + 2x + -2x Combine like terms: -2x + -2x = -4x 2 + -4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -4x = -12 + 0 2 + -4x = -12 Add '-2' to each side of the equation. 2 + -2 + -4x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -12 + -2 -4x = -12 + -2 Combine like terms: -12 + -2 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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