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Simplifying 6x + -3(5 + -1x) = 5(x + 5) 6x + (5 * -3 + -1x * -3) = 5(x + 5) 6x + (-15 + 3x) = 5(x + 5) Reorder the terms: -15 + 6x + 3x = 5(x + 5) Combine like terms: 6x + 3x = 9x -15 + 9x = 5(x + 5) Reorder the terms: -15 + 9x = 5(5 + x) -15 + 9x = (5 * 5 + x * 5) -15 + 9x = (25 + 5x) Solving -15 + 9x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 9x + -5x = 25 + 5x + -5x Combine like terms: 9x + -5x = 4x -15 + 4x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 4x = 25 + 0 -15 + 4x = 25 Add '15' to each side of the equation. -15 + 15 + 4x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 25 + 15 4x = 25 + 15 Combine like terms: 25 + 15 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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