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Simplifying 90 + -1(4x + 15) = (13x + 17) Reorder the terms: 90 + -1(15 + 4x) = (13x + 17) 90 + (15 * -1 + 4x * -1) = (13x + 17) 90 + (-15 + -4x) = (13x + 17) Combine like terms: 90 + -15 = 75 75 + -4x = (13x + 17) Reorder the terms: 75 + -4x = (17 + 13x) Remove parenthesis around (17 + 13x) 75 + -4x = 17 + 13x Solving 75 + -4x = 17 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 75 + -4x + -13x = 17 + 13x + -13x Combine like terms: -4x + -13x = -17x 75 + -17x = 17 + 13x + -13x Combine like terms: 13x + -13x = 0 75 + -17x = 17 + 0 75 + -17x = 17 Add '-75' to each side of the equation. 75 + -75 + -17x = 17 + -75 Combine like terms: 75 + -75 = 0 0 + -17x = 17 + -75 -17x = 17 + -75 Combine like terms: 17 + -75 = -58 -17x = -58 Divide each side by '-17'. x = 3.411764706 Simplifying x = 3.411764706
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