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Simplifying -5x + 6 = 2(x + 3) Reorder the terms: 6 + -5x = 2(x + 3) Reorder the terms: 6 + -5x = 2(3 + x) 6 + -5x = (3 * 2 + x * 2) 6 + -5x = (6 + 2x) Add '-6' to each side of the equation. 6 + -6 + -5x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 0 + -5x = 6 + -6 + 2x -5x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 -5x = 0 + 2x -5x = 2x Solving -5x = 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. -5x + -2x = 2x + -2x Combine like terms: -5x + -2x = -7x -7x = 2x + -2x Combine like terms: 2x + -2x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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