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Simplifying 5x + -6 = x + -3(x + -5) Reorder the terms: -6 + 5x = x + -3(x + -5) Reorder the terms: -6 + 5x = x + -3(-5 + x) -6 + 5x = x + (-5 * -3 + x * -3) -6 + 5x = x + (15 + -3x) Reorder the terms: -6 + 5x = 15 + x + -3x Combine like terms: x + -3x = -2x -6 + 5x = 15 + -2x Solving -6 + 5x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 5x + 2x = 15 + -2x + 2x Combine like terms: 5x + 2x = 7x -6 + 7x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 7x = 15 + 0 -6 + 7x = 15 Add '6' to each side of the equation. -6 + 6 + 7x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 15 + 6 7x = 15 + 6 Combine like terms: 15 + 6 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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