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Simplifying 4(x + 4) + -3(7x + -2) = 17 Reorder the terms: 4(4 + x) + -3(7x + -2) = 17 (4 * 4 + x * 4) + -3(7x + -2) = 17 (16 + 4x) + -3(7x + -2) = 17 Reorder the terms: 16 + 4x + -3(-2 + 7x) = 17 16 + 4x + (-2 * -3 + 7x * -3) = 17 16 + 4x + (6 + -21x) = 17 Reorder the terms: 16 + 6 + 4x + -21x = 17 Combine like terms: 16 + 6 = 22 22 + 4x + -21x = 17 Combine like terms: 4x + -21x = -17x 22 + -17x = 17 Solving 22 + -17x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -17x = 17 + -22 Combine like terms: 22 + -22 = 0 0 + -17x = 17 + -22 -17x = 17 + -22 Combine like terms: 17 + -22 = -5 -17x = -5 Divide each side by '-17'. x = 0.2941176471 Simplifying x = 0.2941176471
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