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Simplifying (29x + -1) + -7(4x + 3) = -6 Reorder the terms: (-1 + 29x) + -7(4x + 3) = -6 Remove parenthesis around (-1 + 29x) -1 + 29x + -7(4x + 3) = -6 Reorder the terms: -1 + 29x + -7(3 + 4x) = -6 -1 + 29x + (3 * -7 + 4x * -7) = -6 -1 + 29x + (-21 + -28x) = -6 Reorder the terms: -1 + -21 + 29x + -28x = -6 Combine like terms: -1 + -21 = -22 -22 + 29x + -28x = -6 Combine like terms: 29x + -28x = 1x -22 + 1x = -6 Solving -22 + 1x = -6 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 + 1x = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = -6 + 22 1x = -6 + 22 Combine like terms: -6 + 22 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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