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Simplifying 15 + 5(x + -10) = 3(x + -1) Reorder the terms: 15 + 5(-10 + x) = 3(x + -1) 15 + (-10 * 5 + x * 5) = 3(x + -1) 15 + (-50 + 5x) = 3(x + -1) Combine like terms: 15 + -50 = -35 -35 + 5x = 3(x + -1) Reorder the terms: -35 + 5x = 3(-1 + x) -35 + 5x = (-1 * 3 + x * 3) -35 + 5x = (-3 + 3x) Solving -35 + 5x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 5x + -3x = -3 + 3x + -3x Combine like terms: 5x + -3x = 2x -35 + 2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 2x = -3 + 0 -35 + 2x = -3 Add '35' to each side of the equation. -35 + 35 + 2x = -3 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -3 + 35 2x = -3 + 35 Combine like terms: -3 + 35 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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