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Simplifying 5x + -1(2x + -10) + 5(x + -3) = 35 Reorder the terms: 5x + -1(-10 + 2x) + 5(x + -3) = 35 5x + (-10 * -1 + 2x * -1) + 5(x + -3) = 35 5x + (10 + -2x) + 5(x + -3) = 35 Reorder the terms: 5x + 10 + -2x + 5(-3 + x) = 35 5x + 10 + -2x + (-3 * 5 + x * 5) = 35 5x + 10 + -2x + (-15 + 5x) = 35 Reorder the terms: 10 + -15 + 5x + -2x + 5x = 35 Combine like terms: 10 + -15 = -5 -5 + 5x + -2x + 5x = 35 Combine like terms: 5x + -2x = 3x -5 + 3x + 5x = 35 Combine like terms: 3x + 5x = 8x -5 + 8x = 35 Solving -5 + 8x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 35 + 5 8x = 35 + 5 Combine like terms: 35 + 5 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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