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Simplifying 15 + -46 = 5(x + -2) + -6 Combine like terms: 15 + -46 = -31 -31 = 5(x + -2) + -6 Reorder the terms: -31 = 5(-2 + x) + -6 -31 = (-2 * 5 + x * 5) + -6 -31 = (-10 + 5x) + -6 Reorder the terms: -31 = -10 + -6 + 5x Combine like terms: -10 + -6 = -16 -31 = -16 + 5x Solving -31 = -16 + 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. -31 + -5x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + -5x = -16 + 0 -31 + -5x = -16 Add '31' to each side of the equation. -31 + 31 + -5x = -16 + 31 Combine like terms: -31 + 31 = 0 0 + -5x = -16 + 31 -5x = -16 + 31 Combine like terms: -16 + 31 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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