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Simplifying 3(7 + 6x) + -11 = 8 + -2(x + -11) (7 * 3 + 6x * 3) + -11 = 8 + -2(x + -11) (21 + 18x) + -11 = 8 + -2(x + -11) Reorder the terms: 21 + -11 + 18x = 8 + -2(x + -11) Combine like terms: 21 + -11 = 10 10 + 18x = 8 + -2(x + -11) Reorder the terms: 10 + 18x = 8 + -2(-11 + x) 10 + 18x = 8 + (-11 * -2 + x * -2) 10 + 18x = 8 + (22 + -2x) Combine like terms: 8 + 22 = 30 10 + 18x = 30 + -2x Solving 10 + 18x = 30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 18x + 2x = 30 + -2x + 2x Combine like terms: 18x + 2x = 20x 10 + 20x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 20x = 30 + 0 10 + 20x = 30 Add '-10' to each side of the equation. 10 + -10 + 20x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 20x = 30 + -10 20x = 30 + -10 Combine like terms: 30 + -10 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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