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Simplifying 4.5x + 18 = 6x + 12 Reorder the terms: 18 + 4.5x = 6x + 12 Reorder the terms: 18 + 4.5x = 12 + 6x Solving 18 + 4.5x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + 4.5x + -6x = 12 + 6x + -6x Combine like terms: 4.5x + -6x = -1.5x 18 + -1.5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -1.5x = 12 + 0 18 + -1.5x = 12 Add '-18' to each side of the equation. 18 + -18 + -1.5x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -1.5x = 12 + -18 -1.5x = 12 + -18 Combine like terms: 12 + -18 = -6 -1.5x = -6 Divide each side by '-1.5'. x = 4 Simplifying x = 4
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