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Simplifying 2(3x + -4) + -2x = 2(x + 1) Reorder the terms: 2(-4 + 3x) + -2x = 2(x + 1) (-4 * 2 + 3x * 2) + -2x = 2(x + 1) (-8 + 6x) + -2x = 2(x + 1) Combine like terms: 6x + -2x = 4x -8 + 4x = 2(x + 1) Reorder the terms: -8 + 4x = 2(1 + x) -8 + 4x = (1 * 2 + x * 2) -8 + 4x = (2 + 2x) Solving -8 + 4x = 2 + 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. -8 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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