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Simplifying 5 + 17x = 3(7x + 26) + -1x Reorder the terms: 5 + 17x = 3(26 + 7x) + -1x 5 + 17x = (26 * 3 + 7x * 3) + -1x 5 + 17x = (78 + 21x) + -1x Combine like terms: 21x + -1x = 20x 5 + 17x = 78 + 20x Solving 5 + 17x = 78 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 5 + 17x + -20x = 78 + 20x + -20x Combine like terms: 17x + -20x = -3x 5 + -3x = 78 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -3x = 78 + 0 5 + -3x = 78 Add '-5' to each side of the equation. 5 + -5 + -3x = 78 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 78 + -5 -3x = 78 + -5 Combine like terms: 78 + -5 = 73 -3x = 73 Divide each side by '-3'. x = -24.33333333 Simplifying x = -24.33333333
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