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Simplifying 2x + 6 = 5(x + 3) Reorder the terms: 6 + 2x = 5(x + 3) Reorder the terms: 6 + 2x = 5(3 + x) 6 + 2x = (3 * 5 + x * 5) 6 + 2x = (15 + 5x) Solving 6 + 2x = 15 + 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. 6 + 2x + -5x = 15 + 5x + -5x Combine like terms: 2x + -5x = -3x 6 + -3x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -3x = 15 + 0 6 + -3x = 15 Add '-6' to each side of the equation. 6 + -6 + -3x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 15 + -6 -3x = 15 + -6 Combine like terms: 15 + -6 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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