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Simplifying -3(7 + x) + 4(1 + 4x) = 22 (7 * -3 + x * -3) + 4(1 + 4x) = 22 (-21 + -3x) + 4(1 + 4x) = 22 -21 + -3x + (1 * 4 + 4x * 4) = 22 -21 + -3x + (4 + 16x) = 22 Reorder the terms: -21 + 4 + -3x + 16x = 22 Combine like terms: -21 + 4 = -17 -17 + -3x + 16x = 22 Combine like terms: -3x + 16x = 13x -17 + 13x = 22 Solving -17 + 13x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 13x = 22 + 17 Combine like terms: -17 + 17 = 0 0 + 13x = 22 + 17 13x = 22 + 17 Combine like terms: 22 + 17 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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