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Simplifying 2(2x + 3) + 6(x + -2) = x Reorder the terms: 2(3 + 2x) + 6(x + -2) = x (3 * 2 + 2x * 2) + 6(x + -2) = x (6 + 4x) + 6(x + -2) = x Reorder the terms: 6 + 4x + 6(-2 + x) = x 6 + 4x + (-2 * 6 + x * 6) = x 6 + 4x + (-12 + 6x) = x Reorder the terms: 6 + -12 + 4x + 6x = x Combine like terms: 6 + -12 = -6 -6 + 4x + 6x = x Combine like terms: 4x + 6x = 10x -6 + 10x = x Solving -6 + 10x = 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. -6 + 10x + -1x = x + -1x Combine like terms: 10x + -1x = 9x -6 + 9x = x + -1x Combine like terms: x + -1x = 0 -6 + 9x = 0 Add '6' to each side of the equation. -6 + 6 + 9x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 0 + 6 9x = 0 + 6 Combine like terms: 0 + 6 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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