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Simplifying 3(169 + -1x) + -1(78 + x) = 29x (169 * 3 + -1x * 3) + -1(78 + x) = 29x (507 + -3x) + -1(78 + x) = 29x 507 + -3x + (78 * -1 + x * -1) = 29x 507 + -3x + (-78 + -1x) = 29x Reorder the terms: 507 + -78 + -3x + -1x = 29x Combine like terms: 507 + -78 = 429 429 + -3x + -1x = 29x Combine like terms: -3x + -1x = -4x 429 + -4x = 29x Solving 429 + -4x = 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 429 + -4x + -29x = 29x + -29x Combine like terms: -4x + -29x = -33x 429 + -33x = 29x + -29x Combine like terms: 29x + -29x = 0 429 + -33x = 0 Add '-429' to each side of the equation. 429 + -429 + -33x = 0 + -429 Combine like terms: 429 + -429 = 0 0 + -33x = 0 + -429 -33x = 0 + -429 Combine like terms: 0 + -429 = -429 -33x = -429 Divide each side by '-33'. x = 13 Simplifying x = 13
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