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Simplifying 2(3x + 4) + -4(2x + 1) = 3x Reorder the terms: 2(4 + 3x) + -4(2x + 1) = 3x (4 * 2 + 3x * 2) + -4(2x + 1) = 3x (8 + 6x) + -4(2x + 1) = 3x Reorder the terms: 8 + 6x + -4(1 + 2x) = 3x 8 + 6x + (1 * -4 + 2x * -4) = 3x 8 + 6x + (-4 + -8x) = 3x Reorder the terms: 8 + -4 + 6x + -8x = 3x Combine like terms: 8 + -4 = 4 4 + 6x + -8x = 3x Combine like terms: 6x + -8x = -2x 4 + -2x = 3x Solving 4 + -2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -2x + -3x = 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = 0 Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8
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