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Simplifying 5(3x + -8) + 57 = -4(x + -9) + 15x + -11 Reorder the terms: 5(-8 + 3x) + 57 = -4(x + -9) + 15x + -11 (-8 * 5 + 3x * 5) + 57 = -4(x + -9) + 15x + -11 (-40 + 15x) + 57 = -4(x + -9) + 15x + -11 Reorder the terms: -40 + 57 + 15x = -4(x + -9) + 15x + -11 Combine like terms: -40 + 57 = 17 17 + 15x = -4(x + -9) + 15x + -11 Reorder the terms: 17 + 15x = -4(-9 + x) + 15x + -11 17 + 15x = (-9 * -4 + x * -4) + 15x + -11 17 + 15x = (36 + -4x) + 15x + -11 Reorder the terms: 17 + 15x = 36 + -11 + -4x + 15x Combine like terms: 36 + -11 = 25 17 + 15x = 25 + -4x + 15x Combine like terms: -4x + 15x = 11x 17 + 15x = 25 + 11x Solving 17 + 15x = 25 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 17 + 15x + -11x = 25 + 11x + -11x Combine like terms: 15x + -11x = 4x 17 + 4x = 25 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + 4x = 25 + 0 17 + 4x = 25 Add '-17' to each side of the equation. 17 + -17 + 4x = 25 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 25 + -17 4x = 25 + -17 Combine like terms: 25 + -17 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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