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Simplifying 40 + -1(4x + 14) = 4(x + 2) + x Reorder the terms: 40 + -1(14 + 4x) = 4(x + 2) + x 40 + (14 * -1 + 4x * -1) = 4(x + 2) + x 40 + (-14 + -4x) = 4(x + 2) + x Combine like terms: 40 + -14 = 26 26 + -4x = 4(x + 2) + x Reorder the terms: 26 + -4x = 4(2 + x) + x 26 + -4x = (2 * 4 + x * 4) + x 26 + -4x = (8 + 4x) + x Combine like terms: 4x + x = 5x 26 + -4x = 8 + 5x Solving 26 + -4x = 8 + 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. 26 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x 26 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + -9x = 8 + 0 26 + -9x = 8 Add '-26' to each side of the equation. 26 + -26 + -9x = 8 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = 8 + -26 -9x = 8 + -26 Combine like terms: 8 + -26 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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