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Simplifying 10(2x + -9) = 10(-4x + -3) Reorder the terms: 10(-9 + 2x) = 10(-4x + -3) (-9 * 10 + 2x * 10) = 10(-4x + -3) (-90 + 20x) = 10(-4x + -3) Reorder the terms: -90 + 20x = 10(-3 + -4x) -90 + 20x = (-3 * 10 + -4x * 10) -90 + 20x = (-30 + -40x) Solving -90 + 20x = -30 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -90 + 20x + 40x = -30 + -40x + 40x Combine like terms: 20x + 40x = 60x -90 + 60x = -30 + -40x + 40x Combine like terms: -40x + 40x = 0 -90 + 60x = -30 + 0 -90 + 60x = -30 Add '90' to each side of the equation. -90 + 90 + 60x = -30 + 90 Combine like terms: -90 + 90 = 0 0 + 60x = -30 + 90 60x = -30 + 90 Combine like terms: -30 + 90 = 60 60x = 60 Divide each side by '60'. x = 1 Simplifying x = 1
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