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Simplifying x + -3 + -2(2x + -5) = 2(6 + -2x) Reorder the terms: x + -3 + -2(-5 + 2x) = 2(6 + -2x) x + -3 + (-5 * -2 + 2x * -2) = 2(6 + -2x) x + -3 + (10 + -4x) = 2(6 + -2x) Reorder the terms: -3 + 10 + x + -4x = 2(6 + -2x) Combine like terms: -3 + 10 = 7 7 + x + -4x = 2(6 + -2x) Combine like terms: x + -4x = -3x 7 + -3x = 2(6 + -2x) 7 + -3x = (6 * 2 + -2x * 2) 7 + -3x = (12 + -4x) Solving 7 + -3x = 12 + -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. 7 + -3x + 4x = 12 + -4x + 4x Combine like terms: -3x + 4x = 1x 7 + 1x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 1x = 12 + 0 7 + 1x = 12 Add '-7' to each side of the equation. 7 + -7 + 1x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 12 + -7 1x = 12 + -7 Combine like terms: 12 + -7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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