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Simplifying (2x + -3) + -1(3 + -2x) = 3 + 2(x + -4) Reorder the terms: (-3 + 2x) + -1(3 + -2x) = 3 + 2(x + -4) Remove parenthesis around (-3 + 2x) -3 + 2x + -1(3 + -2x) = 3 + 2(x + -4) -3 + 2x + (3 * -1 + -2x * -1) = 3 + 2(x + -4) -3 + 2x + (-3 + 2x) = 3 + 2(x + -4) Reorder the terms: -3 + -3 + 2x + 2x = 3 + 2(x + -4) Combine like terms: -3 + -3 = -6 -6 + 2x + 2x = 3 + 2(x + -4) Combine like terms: 2x + 2x = 4x -6 + 4x = 3 + 2(x + -4) Reorder the terms: -6 + 4x = 3 + 2(-4 + x) -6 + 4x = 3 + (-4 * 2 + x * 2) -6 + 4x = 3 + (-8 + 2x) Combine like terms: 3 + -8 = -5 -6 + 4x = -5 + 2x Solving -6 + 4x = -5 + 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. -6 + 4x + -2x = -5 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = -5 + 0 -6 + 2x = -5 Add '6' to each side of the equation. -6 + 6 + 2x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -5 + 6 2x = -5 + 6 Combine like terms: -5 + 6 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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