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Simplifying 6x + -3x + 26 = 5(x + 8) Reorder the terms: 26 + 6x + -3x = 5(x + 8) Combine like terms: 6x + -3x = 3x 26 + 3x = 5(x + 8) Reorder the terms: 26 + 3x = 5(8 + x) 26 + 3x = (8 * 5 + x * 5) 26 + 3x = (40 + 5x) Solving 26 + 3x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 26 + 3x + -5x = 40 + 5x + -5x Combine like terms: 3x + -5x = -2x 26 + -2x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + -2x = 40 + 0 26 + -2x = 40 Add '-26' to each side of the equation. 26 + -26 + -2x = 40 + -26 Combine like terms: 26 + -26 = 0 0 + -2x = 40 + -26 -2x = 40 + -26 Combine like terms: 40 + -26 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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