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Simplifying 9(4 + -2x) + 10 = 4 + 6(3x + -5) (4 * 9 + -2x * 9) + 10 = 4 + 6(3x + -5) (36 + -18x) + 10 = 4 + 6(3x + -5) Reorder the terms: 36 + 10 + -18x = 4 + 6(3x + -5) Combine like terms: 36 + 10 = 46 46 + -18x = 4 + 6(3x + -5) Reorder the terms: 46 + -18x = 4 + 6(-5 + 3x) 46 + -18x = 4 + (-5 * 6 + 3x * 6) 46 + -18x = 4 + (-30 + 18x) Combine like terms: 4 + -30 = -26 46 + -18x = -26 + 18x Solving 46 + -18x = -26 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 46 + -18x + -18x = -26 + 18x + -18x Combine like terms: -18x + -18x = -36x 46 + -36x = -26 + 18x + -18x Combine like terms: 18x + -18x = 0 46 + -36x = -26 + 0 46 + -36x = -26 Add '-46' to each side of the equation. 46 + -46 + -36x = -26 + -46 Combine like terms: 46 + -46 = 0 0 + -36x = -26 + -46 -36x = -26 + -46 Combine like terms: -26 + -46 = -72 -36x = -72 Divide each side by '-36'. x = 2 Simplifying x = 2
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