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Simplifying 5x + 12 = 6(3x + 2) Reorder the terms: 12 + 5x = 6(3x + 2) Reorder the terms: 12 + 5x = 6(2 + 3x) 12 + 5x = (2 * 6 + 3x * 6) 12 + 5x = (12 + 18x) Add '-12' to each side of the equation. 12 + -12 + 5x = 12 + -12 + 18x Combine like terms: 12 + -12 = 0 0 + 5x = 12 + -12 + 18x 5x = 12 + -12 + 18x Combine like terms: 12 + -12 = 0 5x = 0 + 18x 5x = 18x Solving 5x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 5x + -18x = 18x + -18x Combine like terms: 5x + -18x = -13x -13x = 18x + -18x Combine like terms: 18x + -18x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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