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Simplifying 9 + -10(x + -6) = 2x + 45 Reorder the terms: 9 + -10(-6 + x) = 2x + 45 9 + (-6 * -10 + x * -10) = 2x + 45 9 + (60 + -10x) = 2x + 45 Combine like terms: 9 + 60 = 69 69 + -10x = 2x + 45 Reorder the terms: 69 + -10x = 45 + 2x Solving 69 + -10x = 45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 69 + -10x + -2x = 45 + 2x + -2x Combine like terms: -10x + -2x = -12x 69 + -12x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 69 + -12x = 45 + 0 69 + -12x = 45 Add '-69' to each side of the equation. 69 + -69 + -12x = 45 + -69 Combine like terms: 69 + -69 = 0 0 + -12x = 45 + -69 -12x = 45 + -69 Combine like terms: 45 + -69 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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