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Simplifying 3(6x + 2) = 0.5(4x + 4) Reorder the terms: 3(2 + 6x) = 0.5(4x + 4) (2 * 3 + 6x * 3) = 0.5(4x + 4) (6 + 18x) = 0.5(4x + 4) Reorder the terms: 6 + 18x = 0.5(4 + 4x) 6 + 18x = (4 * 0.5 + 4x * 0.5) 6 + 18x = (2 + 2x) Solving 6 + 18x = 2 + 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. 6 + 18x + -2x = 2 + 2x + -2x Combine like terms: 18x + -2x = 16x 6 + 16x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 16x = 2 + 0 6 + 16x = 2 Add '-6' to each side of the equation. 6 + -6 + 16x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 2 + -6 16x = 2 + -6 Combine like terms: 2 + -6 = -4 16x = -4 Divide each side by '16'. x = -0.25 Simplifying x = -0.25
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