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Simplifying 12 + -46 = 5(x + -2) + -9 Combine like terms: 12 + -46 = -34 -34 = 5(x + -2) + -9 Reorder the terms: -34 = 5(-2 + x) + -9 -34 = (-2 * 5 + x * 5) + -9 -34 = (-10 + 5x) + -9 Reorder the terms: -34 = -10 + -9 + 5x Combine like terms: -10 + -9 = -19 -34 = -19 + 5x Solving -34 = -19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -34 + -5x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + -5x = -19 + 0 -34 + -5x = -19 Add '34' to each side of the equation. -34 + 34 + -5x = -19 + 34 Combine like terms: -34 + 34 = 0 0 + -5x = -19 + 34 -5x = -19 + 34 Combine like terms: -19 + 34 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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