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Simplifying 0.5(14x + 2) = 3(2 + -3x) Reorder the terms: 0.5(2 + 14x) = 3(2 + -3x) (2 * 0.5 + 14x * 0.5) = 3(2 + -3x) (1 + 7x) = 3(2 + -3x) 1 + 7x = (2 * 3 + -3x * 3) 1 + 7x = (6 + -9x) Solving 1 + 7x = 6 + -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. 1 + 7x + 9x = 6 + -9x + 9x Combine like terms: 7x + 9x = 16x 1 + 16x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 1 + 16x = 6 + 0 1 + 16x = 6 Add '-1' to each side of the equation. 1 + -1 + 16x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 6 + -1 16x = 6 + -1 Combine like terms: 6 + -1 = 5 16x = 5 Divide each side by '16'. x = 0.3125 Simplifying x = 0.3125
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