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Simplifying 6(x + 2) = 2x + -5(x + -8) + 26 Reorder the terms: 6(2 + x) = 2x + -5(x + -8) + 26 (2 * 6 + x * 6) = 2x + -5(x + -8) + 26 (12 + 6x) = 2x + -5(x + -8) + 26 Reorder the terms: 12 + 6x = 2x + -5(-8 + x) + 26 12 + 6x = 2x + (-8 * -5 + x * -5) + 26 12 + 6x = 2x + (40 + -5x) + 26 Reorder the terms: 12 + 6x = 40 + 26 + 2x + -5x Combine like terms: 40 + 26 = 66 12 + 6x = 66 + 2x + -5x Combine like terms: 2x + -5x = -3x 12 + 6x = 66 + -3x Solving 12 + 6x = 66 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 6x + 3x = 66 + -3x + 3x Combine like terms: 6x + 3x = 9x 12 + 9x = 66 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 9x = 66 + 0 12 + 9x = 66 Add '-12' to each side of the equation. 12 + -12 + 9x = 66 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 66 + -12 9x = 66 + -12 Combine like terms: 66 + -12 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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