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Simplifying 2(2x + 4) + -6 = 3(3x + -2) Reorder the terms: 2(4 + 2x) + -6 = 3(3x + -2) (4 * 2 + 2x * 2) + -6 = 3(3x + -2) (8 + 4x) + -6 = 3(3x + -2) Reorder the terms: 8 + -6 + 4x = 3(3x + -2) Combine like terms: 8 + -6 = 2 2 + 4x = 3(3x + -2) Reorder the terms: 2 + 4x = 3(-2 + 3x) 2 + 4x = (-2 * 3 + 3x * 3) 2 + 4x = (-6 + 9x) Solving 2 + 4x = -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. 2 + 4x + -9x = -6 + 9x + -9x Combine like terms: 4x + -9x = -5x 2 + -5x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -5x = -6 + 0 2 + -5x = -6 Add '-2' to each side of the equation. 2 + -2 + -5x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -6 + -2 -5x = -6 + -2 Combine like terms: -6 + -2 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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