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Simplifying 1.5(4x + 6) = 3(x + 3) Reorder the terms: 1.5(6 + 4x) = 3(x + 3) (6 * 1.5 + 4x * 1.5) = 3(x + 3) (9 + 6x) = 3(x + 3) Reorder the terms: 9 + 6x = 3(3 + x) 9 + 6x = (3 * 3 + x * 3) 9 + 6x = (9 + 3x) Add '-9' to each side of the equation. 9 + -9 + 6x = 9 + -9 + 3x Combine like terms: 9 + -9 = 0 0 + 6x = 9 + -9 + 3x 6x = 9 + -9 + 3x Combine like terms: 9 + -9 = 0 6x = 0 + 3x 6x = 3x Solving 6x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 3x + -3x Combine like terms: 3x + -3x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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