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Simplifying 2(2x + 1) = 3(4x + -3) Reorder the terms: 2(1 + 2x) = 3(4x + -3) (1 * 2 + 2x * 2) = 3(4x + -3) (2 + 4x) = 3(4x + -3) Reorder the terms: 2 + 4x = 3(-3 + 4x) 2 + 4x = (-3 * 3 + 4x * 3) 2 + 4x = (-9 + 12x) Solving 2 + 4x = -9 + 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. 2 + 4x + -12x = -9 + 12x + -12x Combine like terms: 4x + -12x = -8x 2 + -8x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -8x = -9 + 0 2 + -8x = -9 Add '-2' to each side of the equation. 2 + -2 + -8x = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -9 + -2 -8x = -9 + -2 Combine like terms: -9 + -2 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375
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