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Simplifying -5x + 8x + 26 = 5(3x + -2) Reorder the terms: 26 + -5x + 8x = 5(3x + -2) Combine like terms: -5x + 8x = 3x 26 + 3x = 5(3x + -2) Reorder the terms: 26 + 3x = 5(-2 + 3x) 26 + 3x = (-2 * 5 + 3x * 5) 26 + 3x = (-10 + 15x) Solving 26 + 3x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 26 + 3x + -15x = -10 + 15x + -15x Combine like terms: 3x + -15x = -12x 26 + -12x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 26 + -12x = -10 + 0 26 + -12x = -10 Add '-26' to each side of the equation. 26 + -26 + -12x = -10 + -26 Combine like terms: 26 + -26 = 0 0 + -12x = -10 + -26 -12x = -10 + -26 Combine like terms: -10 + -26 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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