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Simplifying 2(x + 4) = 3(3x + -2) Reorder the terms: 2(4 + x) = 3(3x + -2) (4 * 2 + x * 2) = 3(3x + -2) (8 + 2x) = 3(3x + -2) Reorder the terms: 8 + 2x = 3(-2 + 3x) 8 + 2x = (-2 * 3 + 3x * 3) 8 + 2x = (-6 + 9x) Solving 8 + 2x = -6 + 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. 8 + 2x + -9x = -6 + 9x + -9x Combine like terms: 2x + -9x = -7x 8 + -7x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -7x = -6 + 0 8 + -7x = -6 Add '-8' to each side of the equation. 8 + -8 + -7x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -6 + -8 -7x = -6 + -8 Combine like terms: -6 + -8 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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