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Simplifying 6(x + 5) = -3(x + -11) Reorder the terms: 6(5 + x) = -3(x + -11) (5 * 6 + x * 6) = -3(x + -11) (30 + 6x) = -3(x + -11) Reorder the terms: 30 + 6x = -3(-11 + x) 30 + 6x = (-11 * -3 + x * -3) 30 + 6x = (33 + -3x) Solving 30 + 6x = 33 + -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. 30 + 6x + 3x = 33 + -3x + 3x Combine like terms: 6x + 3x = 9x 30 + 9x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + 9x = 33 + 0 30 + 9x = 33 Add '-30' to each side of the equation. 30 + -30 + 9x = 33 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 33 + -30 9x = 33 + -30 Combine like terms: 33 + -30 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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