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Simplifying 10(7 + 15x) + -8(5 + -15x) = 300 (7 * 10 + 15x * 10) + -8(5 + -15x) = 300 (70 + 150x) + -8(5 + -15x) = 300 70 + 150x + (5 * -8 + -15x * -8) = 300 70 + 150x + (-40 + 120x) = 300 Reorder the terms: 70 + -40 + 150x + 120x = 300 Combine like terms: 70 + -40 = 30 30 + 150x + 120x = 300 Combine like terms: 150x + 120x = 270x 30 + 270x = 300 Solving 30 + 270x = 300 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 270x = 300 + -30 Combine like terms: 30 + -30 = 0 0 + 270x = 300 + -30 270x = 300 + -30 Combine like terms: 300 + -30 = 270 270x = 270 Divide each side by '270'. x = 1 Simplifying x = 1
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