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Simplifying 3.8 = 0.5(8x + -4.6) Reorder the terms: 3.8 = 0.5(-4.6 + 8x) 3.8 = (-4.6 * 0.5 + 8x * 0.5) 3.8 = (-2.3 + 4x) Solving 3.8 = -2.3 + 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. 3.8 + -4x = -2.3 + 4x + -4x Combine like terms: 4x + -4x = 0 3.8 + -4x = -2.3 + 0 3.8 + -4x = -2.3 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -4x = -2.3 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -4x = -2.3 + -3.8 -4x = -2.3 + -3.8 Combine like terms: -2.3 + -3.8 = -6.1 -4x = -6.1 Divide each side by '-4'. x = 1.525 Simplifying x = 1.525
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