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Simplifying 10(2x + -10) = -5(4x + 6) Reorder the terms: 10(-10 + 2x) = -5(4x + 6) (-10 * 10 + 2x * 10) = -5(4x + 6) (-100 + 20x) = -5(4x + 6) Reorder the terms: -100 + 20x = -5(6 + 4x) -100 + 20x = (6 * -5 + 4x * -5) -100 + 20x = (-30 + -20x) Solving -100 + 20x = -30 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -100 + 20x + 20x = -30 + -20x + 20x Combine like terms: 20x + 20x = 40x -100 + 40x = -30 + -20x + 20x Combine like terms: -20x + 20x = 0 -100 + 40x = -30 + 0 -100 + 40x = -30 Add '100' to each side of the equation. -100 + 100 + 40x = -30 + 100 Combine like terms: -100 + 100 = 0 0 + 40x = -30 + 100 40x = -30 + 100 Combine like terms: -30 + 100 = 70 40x = 70 Divide each side by '40'. x = 1.75 Simplifying x = 1.75
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