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Simplifying 0.5(2x + 6) = 0.2(4.6x + 10) Reorder the terms: 0.5(6 + 2x) = 0.2(4.6x + 10) (6 * 0.5 + 2x * 0.5) = 0.2(4.6x + 10) (3 + 1x) = 0.2(4.6x + 10) Reorder the terms: 3 + 1x = 0.2(10 + 4.6x) 3 + 1x = (10 * 0.2 + 4.6x * 0.2) 3 + 1x = (2 + 0.92x) Solving 3 + 1x = 2 + 0.92x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.92x' to each side of the equation. 3 + 1x + -0.92x = 2 + 0.92x + -0.92x Combine like terms: 1x + -0.92x = 0.08x 3 + 0.08x = 2 + 0.92x + -0.92x Combine like terms: 0.92x + -0.92x = 0.00 3 + 0.08x = 2 + 0.00 3 + 0.08x = 2 Add '-3' to each side of the equation. 3 + -3 + 0.08x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 0.08x = 2 + -3 0.08x = 2 + -3 Combine like terms: 2 + -3 = -1 0.08x = -1 Divide each side by '0.08'. x = -12.5 Simplifying x = -12.5
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