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Simplifying 3x + -5 = -2(x + 20) Reorder the terms: -5 + 3x = -2(x + 20) Reorder the terms: -5 + 3x = -2(20 + x) -5 + 3x = (20 * -2 + x * -2) -5 + 3x = (-40 + -2x) Solving -5 + 3x = -40 + -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. -5 + 3x + 2x = -40 + -2x + 2x Combine like terms: 3x + 2x = 5x -5 + 5x = -40 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 5x = -40 + 0 -5 + 5x = -40 Add '5' to each side of the equation. -5 + 5 + 5x = -40 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -40 + 5 5x = -40 + 5 Combine like terms: -40 + 5 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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