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Simplifying 2(2x + -2) + -1(3x + 1) = 3(5 + -1x) Reorder the terms: 2(-2 + 2x) + -1(3x + 1) = 3(5 + -1x) (-2 * 2 + 2x * 2) + -1(3x + 1) = 3(5 + -1x) (-4 + 4x) + -1(3x + 1) = 3(5 + -1x) Reorder the terms: -4 + 4x + -1(1 + 3x) = 3(5 + -1x) -4 + 4x + (1 * -1 + 3x * -1) = 3(5 + -1x) -4 + 4x + (-1 + -3x) = 3(5 + -1x) Reorder the terms: -4 + -1 + 4x + -3x = 3(5 + -1x) Combine like terms: -4 + -1 = -5 -5 + 4x + -3x = 3(5 + -1x) Combine like terms: 4x + -3x = 1x -5 + 1x = 3(5 + -1x) -5 + 1x = (5 * 3 + -1x * 3) -5 + 1x = (15 + -3x) Solving -5 + 1x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 1x + 3x = 15 + -3x + 3x Combine like terms: 1x + 3x = 4x -5 + 4x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 4x = 15 + 0 -5 + 4x = 15 Add '5' to each side of the equation. -5 + 5 + 4x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 15 + 5 4x = 15 + 5 Combine like terms: 15 + 5 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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