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Simplifying 3(2x + 7) = 26 + -6(5x + 11) Reorder the terms: 3(7 + 2x) = 26 + -6(5x + 11) (7 * 3 + 2x * 3) = 26 + -6(5x + 11) (21 + 6x) = 26 + -6(5x + 11) Reorder the terms: 21 + 6x = 26 + -6(11 + 5x) 21 + 6x = 26 + (11 * -6 + 5x * -6) 21 + 6x = 26 + (-66 + -30x) Combine like terms: 26 + -66 = -40 21 + 6x = -40 + -30x Solving 21 + 6x = -40 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 21 + 6x + 30x = -40 + -30x + 30x Combine like terms: 6x + 30x = 36x 21 + 36x = -40 + -30x + 30x Combine like terms: -30x + 30x = 0 21 + 36x = -40 + 0 21 + 36x = -40 Add '-21' to each side of the equation. 21 + -21 + 36x = -40 + -21 Combine like terms: 21 + -21 = 0 0 + 36x = -40 + -21 36x = -40 + -21 Combine like terms: -40 + -21 = -61 36x = -61 Divide each side by '36'. x = -1.694444444 Simplifying x = -1.694444444
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