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Simplifying 4(2x + -2) + 3(3x + 4) = 67 Reorder the terms: 4(-2 + 2x) + 3(3x + 4) = 67 (-2 * 4 + 2x * 4) + 3(3x + 4) = 67 (-8 + 8x) + 3(3x + 4) = 67 Reorder the terms: -8 + 8x + 3(4 + 3x) = 67 -8 + 8x + (4 * 3 + 3x * 3) = 67 -8 + 8x + (12 + 9x) = 67 Reorder the terms: -8 + 12 + 8x + 9x = 67 Combine like terms: -8 + 12 = 4 4 + 8x + 9x = 67 Combine like terms: 8x + 9x = 17x 4 + 17x = 67 Solving 4 + 17x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 17x = 67 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 67 + -4 17x = 67 + -4 Combine like terms: 67 + -4 = 63 17x = 63 Divide each side by '17'. x = 3.705882353 Simplifying x = 3.705882353
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