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Simplifying 74 + -1(4x + 14) = 4(x + 6) + x Reorder the terms: 74 + -1(14 + 4x) = 4(x + 6) + x 74 + (14 * -1 + 4x * -1) = 4(x + 6) + x 74 + (-14 + -4x) = 4(x + 6) + x Combine like terms: 74 + -14 = 60 60 + -4x = 4(x + 6) + x Reorder the terms: 60 + -4x = 4(6 + x) + x 60 + -4x = (6 * 4 + x * 4) + x 60 + -4x = (24 + 4x) + x Combine like terms: 4x + x = 5x 60 + -4x = 24 + 5x Solving 60 + -4x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 60 + -4x + -5x = 24 + 5x + -5x Combine like terms: -4x + -5x = -9x 60 + -9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 60 + -9x = 24 + 0 60 + -9x = 24 Add '-60' to each side of the equation. 60 + -60 + -9x = 24 + -60 Combine like terms: 60 + -60 = 0 0 + -9x = 24 + -60 -9x = 24 + -60 Combine like terms: 24 + -60 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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