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Simplifying 5x + 10 = -45 + -6x Reorder the terms: 10 + 5x = -45 + -6x Solving 10 + 5x = -45 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + 5x + 6x = -45 + -6x + 6x Combine like terms: 5x + 6x = 11x 10 + 11x = -45 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 11x = -45 + 0 10 + 11x = -45 Add '-10' to each side of the equation. 10 + -10 + 11x = -45 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = -45 + -10 11x = -45 + -10 Combine like terms: -45 + -10 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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