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Simplifying 3x + 2(x + -40) = 4(x + -2) Reorder the terms: 3x + 2(-40 + x) = 4(x + -2) 3x + (-40 * 2 + x * 2) = 4(x + -2) 3x + (-80 + 2x) = 4(x + -2) Reorder the terms: -80 + 3x + 2x = 4(x + -2) Combine like terms: 3x + 2x = 5x -80 + 5x = 4(x + -2) Reorder the terms: -80 + 5x = 4(-2 + x) -80 + 5x = (-2 * 4 + x * 4) -80 + 5x = (-8 + 4x) Solving -80 + 5x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -80 + 5x + -4x = -8 + 4x + -4x Combine like terms: 5x + -4x = 1x -80 + 1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -80 + 1x = -8 + 0 -80 + 1x = -8 Add '80' to each side of the equation. -80 + 80 + 1x = -8 + 80 Combine like terms: -80 + 80 = 0 0 + 1x = -8 + 80 1x = -8 + 80 Combine like terms: -8 + 80 = 72 1x = 72 Divide each side by '1'. x = 72 Simplifying x = 72
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