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Simplifying 2(x + -4) + x = 3(5 + -1x) Reorder the terms: 2(-4 + x) + x = 3(5 + -1x) (-4 * 2 + x * 2) + x = 3(5 + -1x) (-8 + 2x) + x = 3(5 + -1x) Combine like terms: 2x + x = 3x -8 + 3x = 3(5 + -1x) -8 + 3x = (5 * 3 + -1x * 3) -8 + 3x = (15 + -3x) Solving -8 + 3x = 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. -8 + 3x + 3x = 15 + -3x + 3x Combine like terms: 3x + 3x = 6x -8 + 6x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 6x = 15 + 0 -8 + 6x = 15 Add '8' to each side of the equation. -8 + 8 + 6x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 15 + 8 6x = 15 + 8 Combine like terms: 15 + 8 = 23 6x = 23 Divide each side by '6'. x = 3.833333333 Simplifying x = 3.833333333
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