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Simplifying 5(x + -3) + 2(x + 1) = 100 Reorder the terms: 5(-3 + x) + 2(x + 1) = 100 (-3 * 5 + x * 5) + 2(x + 1) = 100 (-15 + 5x) + 2(x + 1) = 100 Reorder the terms: -15 + 5x + 2(1 + x) = 100 -15 + 5x + (1 * 2 + x * 2) = 100 -15 + 5x + (2 + 2x) = 100 Reorder the terms: -15 + 2 + 5x + 2x = 100 Combine like terms: -15 + 2 = -13 -13 + 5x + 2x = 100 Combine like terms: 5x + 2x = 7x -13 + 7x = 100 Solving -13 + 7x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7x = 100 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 100 + 13 7x = 100 + 13 Combine like terms: 100 + 13 = 113 7x = 113 Divide each side by '7'. x = 16.14285714 Simplifying x = 16.14285714
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