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Simplifying 2(x + -4) + 3x = 4 + -1(x + 2) Reorder the terms: 2(-4 + x) + 3x = 4 + -1(x + 2) (-4 * 2 + x * 2) + 3x = 4 + -1(x + 2) (-8 + 2x) + 3x = 4 + -1(x + 2) Combine like terms: 2x + 3x = 5x -8 + 5x = 4 + -1(x + 2) Reorder the terms: -8 + 5x = 4 + -1(2 + x) -8 + 5x = 4 + (2 * -1 + x * -1) -8 + 5x = 4 + (-2 + -1x) Combine like terms: 4 + -2 = 2 -8 + 5x = 2 + -1x Solving -8 + 5x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 5x + x = 2 + -1x + x Combine like terms: 5x + x = 6x -8 + 6x = 2 + -1x + x Combine like terms: -1x + x = 0 -8 + 6x = 2 + 0 -8 + 6x = 2 Add '8' to each side of the equation. -8 + 8 + 6x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 2 + 8 6x = 2 + 8 Combine like terms: 2 + 8 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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