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Simplifying 3 + 4(3x + -4) = 8 + -4(2x + 1) Reorder the terms: 3 + 4(-4 + 3x) = 8 + -4(2x + 1) 3 + (-4 * 4 + 3x * 4) = 8 + -4(2x + 1) 3 + (-16 + 12x) = 8 + -4(2x + 1) Combine like terms: 3 + -16 = -13 -13 + 12x = 8 + -4(2x + 1) Reorder the terms: -13 + 12x = 8 + -4(1 + 2x) -13 + 12x = 8 + (1 * -4 + 2x * -4) -13 + 12x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -13 + 12x = 4 + -8x Solving -13 + 12x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -13 + 12x + 8x = 4 + -8x + 8x Combine like terms: 12x + 8x = 20x -13 + 20x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 20x = 4 + 0 -13 + 20x = 4 Add '13' to each side of the equation. -13 + 13 + 20x = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 20x = 4 + 13 20x = 4 + 13 Combine like terms: 4 + 13 = 17 20x = 17 Divide each side by '20'. x = 0.85 Simplifying x = 0.85
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