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Simplifying 6x + -5(x + -9) = 10x Reorder the terms: 6x + -5(-9 + x) = 10x 6x + (-9 * -5 + x * -5) = 10x 6x + (45 + -5x) = 10x Reorder the terms: 45 + 6x + -5x = 10x Combine like terms: 6x + -5x = 1x 45 + 1x = 10x Solving 45 + 1x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 45 + 1x + -10x = 10x + -10x Combine like terms: 1x + -10x = -9x 45 + -9x = 10x + -10x Combine like terms: 10x + -10x = 0 45 + -9x = 0 Add '-45' to each side of the equation. 45 + -45 + -9x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 0 + -45 -9x = 0 + -45 Combine like terms: 0 + -45 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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