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Simplifying 5(x + -3) + -2(x + 1) = 15 Reorder the terms: 5(-3 + x) + -2(x + 1) = 15 (-3 * 5 + x * 5) + -2(x + 1) = 15 (-15 + 5x) + -2(x + 1) = 15 Reorder the terms: -15 + 5x + -2(1 + x) = 15 -15 + 5x + (1 * -2 + x * -2) = 15 -15 + 5x + (-2 + -2x) = 15 Reorder the terms: -15 + -2 + 5x + -2x = 15 Combine like terms: -15 + -2 = -17 -17 + 5x + -2x = 15 Combine like terms: 5x + -2x = 3x -17 + 3x = 15 Solving -17 + 3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 3x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 15 + 17 3x = 15 + 17 Combine like terms: 15 + 17 = 32 3x = 32 Divide each side by '3'. x = 10.66666667 Simplifying x = 10.66666667
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