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Simplifying 2(x + -3) + -2(x + -5) = 1 + -4(2 + -1x) Reorder the terms: 2(-3 + x) + -2(x + -5) = 1 + -4(2 + -1x) (-3 * 2 + x * 2) + -2(x + -5) = 1 + -4(2 + -1x) (-6 + 2x) + -2(x + -5) = 1 + -4(2 + -1x) Reorder the terms: -6 + 2x + -2(-5 + x) = 1 + -4(2 + -1x) -6 + 2x + (-5 * -2 + x * -2) = 1 + -4(2 + -1x) -6 + 2x + (10 + -2x) = 1 + -4(2 + -1x) Reorder the terms: -6 + 10 + 2x + -2x = 1 + -4(2 + -1x) Combine like terms: -6 + 10 = 4 4 + 2x + -2x = 1 + -4(2 + -1x) Combine like terms: 2x + -2x = 0 4 + 0 = 1 + -4(2 + -1x) 4 = 1 + -4(2 + -1x) 4 = 1 + (2 * -4 + -1x * -4) 4 = 1 + (-8 + 4x) Combine like terms: 1 + -8 = -7 4 = -7 + 4x Solving 4 = -7 + 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. 4 + -4x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -4x = -7 + 0 4 + -4x = -7 Add '-4' to each side of the equation. 4 + -4 + -4x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -7 + -4 -4x = -7 + -4 Combine like terms: -7 + -4 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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