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Simplifying 0.5(2.5x + 4) = 6x + 4 Reorder the terms: 0.5(4 + 2.5x) = 6x + 4 (4 * 0.5 + 2.5x * 0.5) = 6x + 4 (2 + 1.25x) = 6x + 4 Reorder the terms: 2 + 1.25x = 4 + 6x Solving 2 + 1.25x = 4 + 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. 2 + 1.25x + -6x = 4 + 6x + -6x Combine like terms: 1.25x + -6x = -4.75x 2 + -4.75x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -4.75x = 4 + 0 2 + -4.75x = 4 Add '-2' to each side of the equation. 2 + -2 + -4.75x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -4.75x = 4 + -2 -4.75x = 4 + -2 Combine like terms: 4 + -2 = 2 -4.75x = 2 Divide each side by '-4.75'. x = -0.4210526316 Simplifying x = -0.4210526316
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