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Simplifying 5(x + -90) = 2(x + -90) + 20 Reorder the terms: 5(-90 + x) = 2(x + -90) + 20 (-90 * 5 + x * 5) = 2(x + -90) + 20 (-450 + 5x) = 2(x + -90) + 20 Reorder the terms: -450 + 5x = 2(-90 + x) + 20 -450 + 5x = (-90 * 2 + x * 2) + 20 -450 + 5x = (-180 + 2x) + 20 Reorder the terms: -450 + 5x = -180 + 20 + 2x Combine like terms: -180 + 20 = -160 -450 + 5x = -160 + 2x Solving -450 + 5x = -160 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -450 + 5x + -2x = -160 + 2x + -2x Combine like terms: 5x + -2x = 3x -450 + 3x = -160 + 2x + -2x Combine like terms: 2x + -2x = 0 -450 + 3x = -160 + 0 -450 + 3x = -160 Add '450' to each side of the equation. -450 + 450 + 3x = -160 + 450 Combine like terms: -450 + 450 = 0 0 + 3x = -160 + 450 3x = -160 + 450 Combine like terms: -160 + 450 = 290 3x = 290 Divide each side by '3'. x = 96.66666667 Simplifying x = 96.66666667
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