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Simplifying 6(x + -2) + -2(3 + x) = x + 2 Reorder the terms: 6(-2 + x) + -2(3 + x) = x + 2 (-2 * 6 + x * 6) + -2(3 + x) = x + 2 (-12 + 6x) + -2(3 + x) = x + 2 -12 + 6x + (3 * -2 + x * -2) = x + 2 -12 + 6x + (-6 + -2x) = x + 2 Reorder the terms: -12 + -6 + 6x + -2x = x + 2 Combine like terms: -12 + -6 = -18 -18 + 6x + -2x = x + 2 Combine like terms: 6x + -2x = 4x -18 + 4x = x + 2 Reorder the terms: -18 + 4x = 2 + x Solving -18 + 4x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 4x + -1x = 2 + x + -1x Combine like terms: 4x + -1x = 3x -18 + 3x = 2 + x + -1x Combine like terms: x + -1x = 0 -18 + 3x = 2 + 0 -18 + 3x = 2 Add '18' to each side of the equation. -18 + 18 + 3x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 2 + 18 3x = 2 + 18 Combine like terms: 2 + 18 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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