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Simplifying 5x + -6 = 2(x + 9) Reorder the terms: -6 + 5x = 2(x + 9) Reorder the terms: -6 + 5x = 2(9 + x) -6 + 5x = (9 * 2 + x * 2) -6 + 5x = (18 + 2x) Solving -6 + 5x = 18 + 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 = 18 + 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = 18 + 0 -6 + 3x = 18 Add '6' to each side of the equation. -6 + 6 + 3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 18 + 6 3x = 18 + 6 Combine like terms: 18 + 6 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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