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Simplifying x + -3 + -2(6 + -2x) = 2(2x + -5) x + -3 + (6 * -2 + -2x * -2) = 2(2x + -5) x + -3 + (-12 + 4x) = 2(2x + -5) Reorder the terms: -3 + -12 + x + 4x = 2(2x + -5) Combine like terms: -3 + -12 = -15 -15 + x + 4x = 2(2x + -5) Combine like terms: x + 4x = 5x -15 + 5x = 2(2x + -5) Reorder the terms: -15 + 5x = 2(-5 + 2x) -15 + 5x = (-5 * 2 + 2x * 2) -15 + 5x = (-10 + 4x) Solving -15 + 5x = -10 + 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. -15 + 5x + -4x = -10 + 4x + -4x Combine like terms: 5x + -4x = 1x -15 + 1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 1x = -10 + 0 -15 + 1x = -10 Add '15' to each side of the equation. -15 + 15 + 1x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -10 + 15 1x = -10 + 15 Combine like terms: -10 + 15 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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