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Simplifying 10x + 20(x + -2) = 5x + 15(x + -3) Reorder the terms: 10x + 20(-2 + x) = 5x + 15(x + -3) 10x + (-2 * 20 + x * 20) = 5x + 15(x + -3) 10x + (-40 + 20x) = 5x + 15(x + -3) Reorder the terms: -40 + 10x + 20x = 5x + 15(x + -3) Combine like terms: 10x + 20x = 30x -40 + 30x = 5x + 15(x + -3) Reorder the terms: -40 + 30x = 5x + 15(-3 + x) -40 + 30x = 5x + (-3 * 15 + x * 15) -40 + 30x = 5x + (-45 + 15x) Reorder the terms: -40 + 30x = -45 + 5x + 15x Combine like terms: 5x + 15x = 20x -40 + 30x = -45 + 20x Solving -40 + 30x = -45 + 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. -40 + 30x + -20x = -45 + 20x + -20x Combine like terms: 30x + -20x = 10x -40 + 10x = -45 + 20x + -20x Combine like terms: 20x + -20x = 0 -40 + 10x = -45 + 0 -40 + 10x = -45 Add '40' to each side of the equation. -40 + 40 + 10x = -45 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = -45 + 40 10x = -45 + 40 Combine like terms: -45 + 40 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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