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Simplifying 5(x + -40) = 2(x + -90) + 21 Reorder the terms: 5(-40 + x) = 2(x + -90) + 21 (-40 * 5 + x * 5) = 2(x + -90) + 21 (-200 + 5x) = 2(x + -90) + 21 Reorder the terms: -200 + 5x = 2(-90 + x) + 21 -200 + 5x = (-90 * 2 + x * 2) + 21 -200 + 5x = (-180 + 2x) + 21 Reorder the terms: -200 + 5x = -180 + 21 + 2x Combine like terms: -180 + 21 = -159 -200 + 5x = -159 + 2x Solving -200 + 5x = -159 + 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. -200 + 5x + -2x = -159 + 2x + -2x Combine like terms: 5x + -2x = 3x -200 + 3x = -159 + 2x + -2x Combine like terms: 2x + -2x = 0 -200 + 3x = -159 + 0 -200 + 3x = -159 Add '200' to each side of the equation. -200 + 200 + 3x = -159 + 200 Combine like terms: -200 + 200 = 0 0 + 3x = -159 + 200 3x = -159 + 200 Combine like terms: -159 + 200 = 41 3x = 41 Divide each side by '3'. x = 13.66666667 Simplifying x = 13.66666667
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