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Simplifying 6(3x + 11) = 8 + -1(10x + -14) Reorder the terms: 6(11 + 3x) = 8 + -1(10x + -14) (11 * 6 + 3x * 6) = 8 + -1(10x + -14) (66 + 18x) = 8 + -1(10x + -14) Reorder the terms: 66 + 18x = 8 + -1(-14 + 10x) 66 + 18x = 8 + (-14 * -1 + 10x * -1) 66 + 18x = 8 + (14 + -10x) Combine like terms: 8 + 14 = 22 66 + 18x = 22 + -10x Solving 66 + 18x = 22 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 66 + 18x + 10x = 22 + -10x + 10x Combine like terms: 18x + 10x = 28x 66 + 28x = 22 + -10x + 10x Combine like terms: -10x + 10x = 0 66 + 28x = 22 + 0 66 + 28x = 22 Add '-66' to each side of the equation. 66 + -66 + 28x = 22 + -66 Combine like terms: 66 + -66 = 0 0 + 28x = 22 + -66 28x = 22 + -66 Combine like terms: 22 + -66 = -44 28x = -44 Divide each side by '28'. x = -1.571428571 Simplifying x = -1.571428571
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