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Simplifying 2(x + 2) = 3(3x + -4) Reorder the terms: 2(2 + x) = 3(3x + -4) (2 * 2 + x * 2) = 3(3x + -4) (4 + 2x) = 3(3x + -4) Reorder the terms: 4 + 2x = 3(-4 + 3x) 4 + 2x = (-4 * 3 + 3x * 3) 4 + 2x = (-12 + 9x) Solving 4 + 2x = -12 + 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 + 2x + -9x = -12 + 9x + -9x Combine like terms: 2x + -9x = -7x 4 + -7x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -7x = -12 + 0 4 + -7x = -12 Add '-4' to each side of the equation. 4 + -4 + -7x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -12 + -4 -7x = -12 + -4 Combine like terms: -12 + -4 = -16 -7x = -16 Divide each side by '-7'. x = 2.285714286 Simplifying x = 2.285714286
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