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Simplifying 2(x + -4) + 5 = 6 + -1(x + 2) Reorder the terms: 2(-4 + x) + 5 = 6 + -1(x + 2) (-4 * 2 + x * 2) + 5 = 6 + -1(x + 2) (-8 + 2x) + 5 = 6 + -1(x + 2) Reorder the terms: -8 + 5 + 2x = 6 + -1(x + 2) Combine like terms: -8 + 5 = -3 -3 + 2x = 6 + -1(x + 2) Reorder the terms: -3 + 2x = 6 + -1(2 + x) -3 + 2x = 6 + (2 * -1 + x * -1) -3 + 2x = 6 + (-2 + -1x) Combine like terms: 6 + -2 = 4 -3 + 2x = 4 + -1x Solving -3 + 2x = 4 + -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. -3 + 2x + x = 4 + -1x + x Combine like terms: 2x + x = 3x -3 + 3x = 4 + -1x + x Combine like terms: -1x + x = 0 -3 + 3x = 4 + 0 -3 + 3x = 4 Add '3' to each side of the equation. -3 + 3 + 3x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 4 + 3 3x = 4 + 3 Combine like terms: 4 + 3 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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