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Simplifying 3x + 26 + 2x = 8(x + -15) Reorder the terms: 26 + 3x + 2x = 8(x + -15) Combine like terms: 3x + 2x = 5x 26 + 5x = 8(x + -15) Reorder the terms: 26 + 5x = 8(-15 + x) 26 + 5x = (-15 * 8 + x * 8) 26 + 5x = (-120 + 8x) Solving 26 + 5x = -120 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 26 + 5x + -8x = -120 + 8x + -8x Combine like terms: 5x + -8x = -3x 26 + -3x = -120 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + -3x = -120 + 0 26 + -3x = -120 Add '-26' to each side of the equation. 26 + -26 + -3x = -120 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = -120 + -26 -3x = -120 + -26 Combine like terms: -120 + -26 = -146 -3x = -146 Divide each side by '-3'. x = 48.66666667 Simplifying x = 48.66666667
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