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Simplifying 17 + -1(4x + -9) + 15 = 3(4x + -5) Reorder the terms: 17 + -1(-9 + 4x) + 15 = 3(4x + -5) 17 + (-9 * -1 + 4x * -1) + 15 = 3(4x + -5) 17 + (9 + -4x) + 15 = 3(4x + -5) Reorder the terms: 17 + 9 + 15 + -4x = 3(4x + -5) Combine like terms: 17 + 9 = 26 26 + 15 + -4x = 3(4x + -5) Combine like terms: 26 + 15 = 41 41 + -4x = 3(4x + -5) Reorder the terms: 41 + -4x = 3(-5 + 4x) 41 + -4x = (-5 * 3 + 4x * 3) 41 + -4x = (-15 + 12x) Solving 41 + -4x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 41 + -4x + -12x = -15 + 12x + -12x Combine like terms: -4x + -12x = -16x 41 + -16x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 41 + -16x = -15 + 0 41 + -16x = -15 Add '-41' to each side of the equation. 41 + -41 + -16x = -15 + -41 Combine like terms: 41 + -41 = 0 0 + -16x = -15 + -41 -16x = -15 + -41 Combine like terms: -15 + -41 = -56 -16x = -56 Divide each side by '-16'. x = 3.5 Simplifying x = 3.5
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