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Simplifying 2(x + -4) + 3x = x + 4 + (x + -2) Reorder the terms: 2(-4 + x) + 3x = x + 4 + (x + -2) (-4 * 2 + x * 2) + 3x = x + 4 + (x + -2) (-8 + 2x) + 3x = x + 4 + (x + -2) Combine like terms: 2x + 3x = 5x -8 + 5x = x + 4 + (x + -2) Reorder the terms: -8 + 5x = x + 4 + (-2 + x) Remove parenthesis around (-2 + x) -8 + 5x = x + 4 + -2 + x Reorder the terms: -8 + 5x = 4 + -2 + x + x Combine like terms: 4 + -2 = 2 -8 + 5x = 2 + x + x Combine like terms: x + x = 2x -8 + 5x = 2 + 2x Solving -8 + 5x = 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 + 5x + -2x = 2 + 2x + -2x Combine like terms: 5x + -2x = 3x -8 + 3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 3x = 2 + 0 -8 + 3x = 2 Add '8' to each side of the equation. -8 + 8 + 3x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 2 + 8 3x = 2 + 8 Combine like terms: 2 + 8 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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