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Simplifying 3 + 4(3x + -5) = 7 + -4(2x + 1) Reorder the terms: 3 + 4(-5 + 3x) = 7 + -4(2x + 1) 3 + (-5 * 4 + 3x * 4) = 7 + -4(2x + 1) 3 + (-20 + 12x) = 7 + -4(2x + 1) Combine like terms: 3 + -20 = -17 -17 + 12x = 7 + -4(2x + 1) Reorder the terms: -17 + 12x = 7 + -4(1 + 2x) -17 + 12x = 7 + (1 * -4 + 2x * -4) -17 + 12x = 7 + (-4 + -8x) Combine like terms: 7 + -4 = 3 -17 + 12x = 3 + -8x Solving -17 + 12x = 3 + -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. -17 + 12x + 8x = 3 + -8x + 8x Combine like terms: 12x + 8x = 20x -17 + 20x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -17 + 20x = 3 + 0 -17 + 20x = 3 Add '17' to each side of the equation. -17 + 17 + 20x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 20x = 3 + 17 20x = 3 + 17 Combine like terms: 3 + 17 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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