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Simplifying 2(9x + -10) = 4(3x + 10) Reorder the terms: 2(-10 + 9x) = 4(3x + 10) (-10 * 2 + 9x * 2) = 4(3x + 10) (-20 + 18x) = 4(3x + 10) Reorder the terms: -20 + 18x = 4(10 + 3x) -20 + 18x = (10 * 4 + 3x * 4) -20 + 18x = (40 + 12x) Solving -20 + 18x = 40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 18x + -12x = 40 + 12x + -12x Combine like terms: 18x + -12x = 6x -20 + 6x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + 6x = 40 + 0 -20 + 6x = 40 Add '20' to each side of the equation. -20 + 20 + 6x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 40 + 20 6x = 40 + 20 Combine like terms: 40 + 20 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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