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Simplifying 4x + -2(x + 5) + 5(2x + -4) = 90 Reorder the terms: 4x + -2(5 + x) + 5(2x + -4) = 90 4x + (5 * -2 + x * -2) + 5(2x + -4) = 90 4x + (-10 + -2x) + 5(2x + -4) = 90 Reorder the terms: 4x + -10 + -2x + 5(-4 + 2x) = 90 4x + -10 + -2x + (-4 * 5 + 2x * 5) = 90 4x + -10 + -2x + (-20 + 10x) = 90 Reorder the terms: -10 + -20 + 4x + -2x + 10x = 90 Combine like terms: -10 + -20 = -30 -30 + 4x + -2x + 10x = 90 Combine like terms: 4x + -2x = 2x -30 + 2x + 10x = 90 Combine like terms: 2x + 10x = 12x -30 + 12x = 90 Solving -30 + 12x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 12x = 90 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 90 + 30 12x = 90 + 30 Combine like terms: 90 + 30 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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