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Simplifying 107 = 5(4x + 1) + -3x Reorder the terms: 107 = 5(1 + 4x) + -3x 107 = (1 * 5 + 4x * 5) + -3x 107 = (5 + 20x) + -3x Combine like terms: 20x + -3x = 17x 107 = 5 + 17x Solving 107 = 5 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 107 + -17x = 5 + 17x + -17x Combine like terms: 17x + -17x = 0 107 + -17x = 5 + 0 107 + -17x = 5 Add '-107' to each side of the equation. 107 + -107 + -17x = 5 + -107 Combine like terms: 107 + -107 = 0 0 + -17x = 5 + -107 -17x = 5 + -107 Combine like terms: 5 + -107 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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