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Simplifying 2(5x + -20) = 10(4x + -34) Reorder the terms: 2(-20 + 5x) = 10(4x + -34) (-20 * 2 + 5x * 2) = 10(4x + -34) (-40 + 10x) = 10(4x + -34) Reorder the terms: -40 + 10x = 10(-34 + 4x) -40 + 10x = (-34 * 10 + 4x * 10) -40 + 10x = (-340 + 40x) Solving -40 + 10x = -340 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -40 + 10x + -40x = -340 + 40x + -40x Combine like terms: 10x + -40x = -30x -40 + -30x = -340 + 40x + -40x Combine like terms: 40x + -40x = 0 -40 + -30x = -340 + 0 -40 + -30x = -340 Add '40' to each side of the equation. -40 + 40 + -30x = -340 + 40 Combine like terms: -40 + 40 = 0 0 + -30x = -340 + 40 -30x = -340 + 40 Combine like terms: -340 + 40 = -300 -30x = -300 Divide each side by '-30'. x = 10 Simplifying x = 10
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