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Simplifying 0.50(12 + -4x) = 18 + -1(9x + -2) (12 * 0.50 + -4x * 0.50) = 18 + -1(9x + -2) (6 + -2x) = 18 + -1(9x + -2) Reorder the terms: 6 + -2x = 18 + -1(-2 + 9x) 6 + -2x = 18 + (-2 * -1 + 9x * -1) 6 + -2x = 18 + (2 + -9x) Combine like terms: 18 + 2 = 20 6 + -2x = 20 + -9x Solving 6 + -2x = 20 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + -2x + 9x = 20 + -9x + 9x Combine like terms: -2x + 9x = 7x 6 + 7x = 20 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 7x = 20 + 0 6 + 7x = 20 Add '-6' to each side of the equation. 6 + -6 + 7x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 20 + -6 7x = 20 + -6 Combine like terms: 20 + -6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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