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Simplifying 2(3 + -2x) = 7 + -1(5x + -3) (3 * 2 + -2x * 2) = 7 + -1(5x + -3) (6 + -4x) = 7 + -1(5x + -3) Reorder the terms: 6 + -4x = 7 + -1(-3 + 5x) 6 + -4x = 7 + (-3 * -1 + 5x * -1) 6 + -4x = 7 + (3 + -5x) Combine like terms: 7 + 3 = 10 6 + -4x = 10 + -5x Solving 6 + -4x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -4x + 5x = 10 + -5x + 5x Combine like terms: -4x + 5x = 1x 6 + 1x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 1x = 10 + 0 6 + 1x = 10 Add '-6' to each side of the equation. 6 + -6 + 1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 10 + -6 1x = 10 + -6 Combine like terms: 10 + -6 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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