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Simplifying 5(x + -3) + 10x + 25(x + -7) = 390 Reorder the terms: 5(-3 + x) + 10x + 25(x + -7) = 390 (-3 * 5 + x * 5) + 10x + 25(x + -7) = 390 (-15 + 5x) + 10x + 25(x + -7) = 390 Reorder the terms: -15 + 5x + 10x + 25(-7 + x) = 390 -15 + 5x + 10x + (-7 * 25 + x * 25) = 390 -15 + 5x + 10x + (-175 + 25x) = 390 Reorder the terms: -15 + -175 + 5x + 10x + 25x = 390 Combine like terms: -15 + -175 = -190 -190 + 5x + 10x + 25x = 390 Combine like terms: 5x + 10x = 15x -190 + 15x + 25x = 390 Combine like terms: 15x + 25x = 40x -190 + 40x = 390 Solving -190 + 40x = 390 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '190' to each side of the equation. -190 + 190 + 40x = 390 + 190 Combine like terms: -190 + 190 = 0 0 + 40x = 390 + 190 40x = 390 + 190 Combine like terms: 390 + 190 = 580 40x = 580 Divide each side by '40'. x = 14.5 Simplifying x = 14.5
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