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Simplifying 3(4 + -4x) + 1 = 2(x + 2) + -5x (4 * 3 + -4x * 3) + 1 = 2(x + 2) + -5x (12 + -12x) + 1 = 2(x + 2) + -5x Reorder the terms: 12 + 1 + -12x = 2(x + 2) + -5x Combine like terms: 12 + 1 = 13 13 + -12x = 2(x + 2) + -5x Reorder the terms: 13 + -12x = 2(2 + x) + -5x 13 + -12x = (2 * 2 + x * 2) + -5x 13 + -12x = (4 + 2x) + -5x Combine like terms: 2x + -5x = -3x 13 + -12x = 4 + -3x Solving 13 + -12x = 4 + -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. 13 + -12x + 3x = 4 + -3x + 3x Combine like terms: -12x + 3x = -9x 13 + -9x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + -9x = 4 + 0 13 + -9x = 4 Add '-13' to each side of the equation. 13 + -13 + -9x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 4 + -13 -9x = 4 + -13 Combine like terms: 4 + -13 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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