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Simplifying 6(x + -1) + -2x = 2(x + 1) + 4(2 + -1x) Reorder the terms: 6(-1 + x) + -2x = 2(x + 1) + 4(2 + -1x) (-1 * 6 + x * 6) + -2x = 2(x + 1) + 4(2 + -1x) (-6 + 6x) + -2x = 2(x + 1) + 4(2 + -1x) Combine like terms: 6x + -2x = 4x -6 + 4x = 2(x + 1) + 4(2 + -1x) Reorder the terms: -6 + 4x = 2(1 + x) + 4(2 + -1x) -6 + 4x = (1 * 2 + x * 2) + 4(2 + -1x) -6 + 4x = (2 + 2x) + 4(2 + -1x) -6 + 4x = 2 + 2x + (2 * 4 + -1x * 4) -6 + 4x = 2 + 2x + (8 + -4x) Reorder the terms: -6 + 4x = 2 + 8 + 2x + -4x Combine like terms: 2 + 8 = 10 -6 + 4x = 10 + 2x + -4x Combine like terms: 2x + -4x = -2x -6 + 4x = 10 + -2x Solving -6 + 4x = 10 + -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. -6 + 4x + 2x = 10 + -2x + 2x Combine like terms: 4x + 2x = 6x -6 + 6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 6x = 10 + 0 -6 + 6x = 10 Add '6' to each side of the equation. -6 + 6 + 6x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 10 + 6 6x = 10 + 6 Combine like terms: 10 + 6 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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