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Simplifying 10(3x + -5) = -11(x + 12) Reorder the terms: 10(-5 + 3x) = -11(x + 12) (-5 * 10 + 3x * 10) = -11(x + 12) (-50 + 30x) = -11(x + 12) Reorder the terms: -50 + 30x = -11(12 + x) -50 + 30x = (12 * -11 + x * -11) -50 + 30x = (-132 + -11x) Solving -50 + 30x = -132 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -50 + 30x + 11x = -132 + -11x + 11x Combine like terms: 30x + 11x = 41x -50 + 41x = -132 + -11x + 11x Combine like terms: -11x + 11x = 0 -50 + 41x = -132 + 0 -50 + 41x = -132 Add '50' to each side of the equation. -50 + 50 + 41x = -132 + 50 Combine like terms: -50 + 50 = 0 0 + 41x = -132 + 50 41x = -132 + 50 Combine like terms: -132 + 50 = -82 41x = -82 Divide each side by '41'. x = -2 Simplifying x = -2
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