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Simplifying 3(2x + 10) = 4(5x + -10) Reorder the terms: 3(10 + 2x) = 4(5x + -10) (10 * 3 + 2x * 3) = 4(5x + -10) (30 + 6x) = 4(5x + -10) Reorder the terms: 30 + 6x = 4(-10 + 5x) 30 + 6x = (-10 * 4 + 5x * 4) 30 + 6x = (-40 + 20x) Solving 30 + 6x = -40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 30 + 6x + -20x = -40 + 20x + -20x Combine like terms: 6x + -20x = -14x 30 + -14x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -14x = -40 + 0 30 + -14x = -40 Add '-30' to each side of the equation. 30 + -30 + -14x = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = -40 + -30 -14x = -40 + -30 Combine like terms: -40 + -30 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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