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Simplifying 2(2 + 3x) = 4 + 3(3x + -4) (2 * 2 + 3x * 2) = 4 + 3(3x + -4) (4 + 6x) = 4 + 3(3x + -4) Reorder the terms: 4 + 6x = 4 + 3(-4 + 3x) 4 + 6x = 4 + (-4 * 3 + 3x * 3) 4 + 6x = 4 + (-12 + 9x) Combine like terms: 4 + -12 = -8 4 + 6x = -8 + 9x Solving 4 + 6x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 6x + -9x = -8 + 9x + -9x Combine like terms: 6x + -9x = -3x 4 + -3x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -3x = -8 + 0 4 + -3x = -8 Add '-4' to each side of the equation. 4 + -4 + -3x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -8 + -4 -3x = -8 + -4 Combine like terms: -8 + -4 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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