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Simplifying 2(3x + 3) = 3(5x + 0.5) Reorder the terms: 2(3 + 3x) = 3(5x + 0.5) (3 * 2 + 3x * 2) = 3(5x + 0.5) (6 + 6x) = 3(5x + 0.5) Reorder the terms: 6 + 6x = 3(0.5 + 5x) 6 + 6x = (0.5 * 3 + 5x * 3) 6 + 6x = (1.5 + 15x) Solving 6 + 6x = 1.5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 6x + -15x = 1.5 + 15x + -15x Combine like terms: 6x + -15x = -9x 6 + -9x = 1.5 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -9x = 1.5 + 0 6 + -9x = 1.5 Add '-6' to each side of the equation. 6 + -6 + -9x = 1.5 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 1.5 + -6 -9x = 1.5 + -6 Combine like terms: 1.5 + -6 = -4.5 -9x = -4.5 Divide each side by '-9'. x = 0.5 Simplifying x = 0.5
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