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Simplifying x + 5(3x + -20) = 10(x + -9) Reorder the terms: x + 5(-20 + 3x) = 10(x + -9) x + (-20 * 5 + 3x * 5) = 10(x + -9) x + (-100 + 15x) = 10(x + -9) Reorder the terms: -100 + x + 15x = 10(x + -9) Combine like terms: x + 15x = 16x -100 + 16x = 10(x + -9) Reorder the terms: -100 + 16x = 10(-9 + x) -100 + 16x = (-9 * 10 + x * 10) -100 + 16x = (-90 + 10x) Solving -100 + 16x = -90 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -100 + 16x + -10x = -90 + 10x + -10x Combine like terms: 16x + -10x = 6x -100 + 6x = -90 + 10x + -10x Combine like terms: 10x + -10x = 0 -100 + 6x = -90 + 0 -100 + 6x = -90 Add '100' to each side of the equation. -100 + 100 + 6x = -90 + 100 Combine like terms: -100 + 100 = 0 0 + 6x = -90 + 100 6x = -90 + 100 Combine like terms: -90 + 100 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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