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Simplifying 2(3x + -5) + 6(9x + -2) = 20 Reorder the terms: 2(-5 + 3x) + 6(9x + -2) = 20 (-5 * 2 + 3x * 2) + 6(9x + -2) = 20 (-10 + 6x) + 6(9x + -2) = 20 Reorder the terms: -10 + 6x + 6(-2 + 9x) = 20 -10 + 6x + (-2 * 6 + 9x * 6) = 20 -10 + 6x + (-12 + 54x) = 20 Reorder the terms: -10 + -12 + 6x + 54x = 20 Combine like terms: -10 + -12 = -22 -22 + 6x + 54x = 20 Combine like terms: 6x + 54x = 60x -22 + 60x = 20 Solving -22 + 60x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 60x = 20 + 22 Combine like terms: -22 + 22 = 0 0 + 60x = 20 + 22 60x = 20 + 22 Combine like terms: 20 + 22 = 42 60x = 42 Divide each side by '60'. x = 0.7 Simplifying x = 0.7
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