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Simplifying 2(x + 3) + -3x = 2x + 8 Reorder the terms: 2(3 + x) + -3x = 2x + 8 (3 * 2 + x * 2) + -3x = 2x + 8 (6 + 2x) + -3x = 2x + 8 Combine like terms: 2x + -3x = -1x 6 + -1x = 2x + 8 Reorder the terms: 6 + -1x = 8 + 2x Solving 6 + -1x = 8 + 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 + -1x + -2x = 8 + 2x + -2x Combine like terms: -1x + -2x = -3x 6 + -3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -3x = 8 + 0 6 + -3x = 8 Add '-6' to each side of the equation. 6 + -6 + -3x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 8 + -6 -3x = 8 + -6 Combine like terms: 8 + -6 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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