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Simplifying 1.5(6x + 12) = 15 + 2x Reorder the terms: 1.5(12 + 6x) = 15 + 2x (12 * 1.5 + 6x * 1.5) = 15 + 2x (18 + 9x) = 15 + 2x Solving 18 + 9x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 9x + -2x = 15 + 2x + -2x Combine like terms: 9x + -2x = 7x 18 + 7x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 7x = 15 + 0 18 + 7x = 15 Add '-18' to each side of the equation. 18 + -18 + 7x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 15 + -18 7x = 15 + -18 Combine like terms: 15 + -18 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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