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Simplifying 2(6 + -2x) + 3x = 4 + 2(5 + x) (6 * 2 + -2x * 2) + 3x = 4 + 2(5 + x) (12 + -4x) + 3x = 4 + 2(5 + x) Combine like terms: -4x + 3x = -1x 12 + -1x = 4 + 2(5 + x) 12 + -1x = 4 + (5 * 2 + x * 2) 12 + -1x = 4 + (10 + 2x) Combine like terms: 4 + 10 = 14 12 + -1x = 14 + 2x Solving 12 + -1x = 14 + 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. 12 + -1x + -2x = 14 + 2x + -2x Combine like terms: -1x + -2x = -3x 12 + -3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -3x = 14 + 0 12 + -3x = 14 Add '-12' to each side of the equation. 12 + -12 + -3x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 14 + -12 -3x = 14 + -12 Combine like terms: 14 + -12 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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