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Simplifying 11(10x + 13) = -12(x + -2) Reorder the terms: 11(13 + 10x) = -12(x + -2) (13 * 11 + 10x * 11) = -12(x + -2) (143 + 110x) = -12(x + -2) Reorder the terms: 143 + 110x = -12(-2 + x) 143 + 110x = (-2 * -12 + x * -12) 143 + 110x = (24 + -12x) Solving 143 + 110x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 143 + 110x + 12x = 24 + -12x + 12x Combine like terms: 110x + 12x = 122x 143 + 122x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 143 + 122x = 24 + 0 143 + 122x = 24 Add '-143' to each side of the equation. 143 + -143 + 122x = 24 + -143 Combine like terms: 143 + -143 = 0 0 + 122x = 24 + -143 122x = 24 + -143 Combine like terms: 24 + -143 = -119 122x = -119 Divide each side by '122'. x = -0.9754098361 Simplifying x = -0.9754098361
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