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Simplifying x + 2(x + 2) = 4(3x + -2) Reorder the terms: x + 2(2 + x) = 4(3x + -2) x + (2 * 2 + x * 2) = 4(3x + -2) x + (4 + 2x) = 4(3x + -2) Reorder the terms: 4 + x + 2x = 4(3x + -2) Combine like terms: x + 2x = 3x 4 + 3x = 4(3x + -2) Reorder the terms: 4 + 3x = 4(-2 + 3x) 4 + 3x = (-2 * 4 + 3x * 4) 4 + 3x = (-8 + 12x) Solving 4 + 3x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 3x + -12x = -8 + 12x + -12x Combine like terms: 3x + -12x = -9x 4 + -9x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -9x = -8 + 0 4 + -9x = -8 Add '-4' to each side of the equation. 4 + -4 + -9x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -8 + -4 -9x = -8 + -4 Combine like terms: -8 + -4 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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