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Simplifying 5(x + -40) = 2(x + -40) + 21 Reorder the terms: 5(-40 + x) = 2(x + -40) + 21 (-40 * 5 + x * 5) = 2(x + -40) + 21 (-200 + 5x) = 2(x + -40) + 21 Reorder the terms: -200 + 5x = 2(-40 + x) + 21 -200 + 5x = (-40 * 2 + x * 2) + 21 -200 + 5x = (-80 + 2x) + 21 Reorder the terms: -200 + 5x = -80 + 21 + 2x Combine like terms: -80 + 21 = -59 -200 + 5x = -59 + 2x Solving -200 + 5x = -59 + 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 = -59 + 2x + -2x Combine like terms: 5x + -2x = 3x -200 + 3x = -59 + 2x + -2x Combine like terms: 2x + -2x = 0 -200 + 3x = -59 + 0 -200 + 3x = -59 Add '200' to each side of the equation. -200 + 200 + 3x = -59 + 200 Combine like terms: -200 + 200 = 0 0 + 3x = -59 + 200 3x = -59 + 200 Combine like terms: -59 + 200 = 141 3x = 141 Divide each side by '3'. x = 47 Simplifying x = 47
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