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Simplifying 2(3x + 3) = 3(x + 0.5) Reorder the terms: 2(3 + 3x) = 3(x + 0.5) (3 * 2 + 3x * 2) = 3(x + 0.5) (6 + 6x) = 3(x + 0.5) Reorder the terms: 6 + 6x = 3(0.5 + x) 6 + 6x = (0.5 * 3 + x * 3) 6 + 6x = (1.5 + 3x) Solving 6 + 6x = 1.5 + 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. 6 + 6x + -3x = 1.5 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = 1.5 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = 1.5 + 0 6 + 3x = 1.5 Add '-6' to each side of the equation. 6 + -6 + 3x = 1.5 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 1.5 + -6 3x = 1.5 + -6 Combine like terms: 1.5 + -6 = -4.5 3x = -4.5 Divide each side by '3'. x = -1.5 Simplifying x = -1.5
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