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Simplifying 0.5(4x + 6) = 0.8(5x + -2) Reorder the terms: 0.5(6 + 4x) = 0.8(5x + -2) (6 * 0.5 + 4x * 0.5) = 0.8(5x + -2) (3 + 2x) = 0.8(5x + -2) Reorder the terms: 3 + 2x = 0.8(-2 + 5x) 3 + 2x = (-2 * 0.8 + 5x * 0.8) 3 + 2x = (-1.6 + 4x) Solving 3 + 2x = -1.6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 2x + -4x = -1.6 + 4x + -4x Combine like terms: 2x + -4x = -2x 3 + -2x = -1.6 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -2x = -1.6 + 0 3 + -2x = -1.6 Add '-3' to each side of the equation. 3 + -3 + -2x = -1.6 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -1.6 + -3 -2x = -1.6 + -3 Combine like terms: -1.6 + -3 = -4.6 -2x = -4.6 Divide each side by '-2'. x = 2.3 Simplifying x = 2.3
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