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Simplifying 1670 = 2.5x + 15(x + -20) Reorder the terms: 1670 = 2.5x + 15(-20 + x) 1670 = 2.5x + (-20 * 15 + x * 15) 1670 = 2.5x + (-300 + 15x) Reorder the terms: 1670 = -300 + 2.5x + 15x Combine like terms: 2.5x + 15x = 17.5x 1670 = -300 + 17.5x Solving 1670 = -300 + 17.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.5x' to each side of the equation. 1670 + -17.5x = -300 + 17.5x + -17.5x Combine like terms: 17.5x + -17.5x = 0.0 1670 + -17.5x = -300 + 0.0 1670 + -17.5x = -300 Add '-1670' to each side of the equation. 1670 + -1670 + -17.5x = -300 + -1670 Combine like terms: 1670 + -1670 = 0 0 + -17.5x = -300 + -1670 -17.5x = -300 + -1670 Combine like terms: -300 + -1670 = -1970 -17.5x = -1970 Divide each side by '-17.5'. x = 112.5714286 Simplifying x = 112.5714286
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