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Simplifying 3(x + -40) = 100 + -1x + 40 Reorder the terms: 3(-40 + x) = 100 + -1x + 40 (-40 * 3 + x * 3) = 100 + -1x + 40 (-120 + 3x) = 100 + -1x + 40 Reorder the terms: -120 + 3x = 100 + 40 + -1x Combine like terms: 100 + 40 = 140 -120 + 3x = 140 + -1x Solving -120 + 3x = 140 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -120 + 3x + x = 140 + -1x + x Combine like terms: 3x + x = 4x -120 + 4x = 140 + -1x + x Combine like terms: -1x + x = 0 -120 + 4x = 140 + 0 -120 + 4x = 140 Add '120' to each side of the equation. -120 + 120 + 4x = 140 + 120 Combine like terms: -120 + 120 = 0 0 + 4x = 140 + 120 4x = 140 + 120 Combine like terms: 140 + 120 = 260 4x = 260 Divide each side by '4'. x = 65 Simplifying x = 65
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