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Simplifying 0.5(4x + 3) = 2.5 + 6x Reorder the terms: 0.5(3 + 4x) = 2.5 + 6x (3 * 0.5 + 4x * 0.5) = 2.5 + 6x (1.5 + 2x) = 2.5 + 6x Solving 1.5 + 2x = 2.5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1.5 + 2x + -6x = 2.5 + 6x + -6x Combine like terms: 2x + -6x = -4x 1.5 + -4x = 2.5 + 6x + -6x Combine like terms: 6x + -6x = 0 1.5 + -4x = 2.5 + 0 1.5 + -4x = 2.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -4x = 2.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -4x = 2.5 + -1.5 -4x = 2.5 + -1.5 Combine like terms: 2.5 + -1.5 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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