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Simplifying 5x + 3(0.25 + x) = 0.75 + -5x 5x + (0.25 * 3 + x * 3) = 0.75 + -5x 5x + (0.75 + 3x) = 0.75 + -5x Reorder the terms: 0.75 + 5x + 3x = 0.75 + -5x Combine like terms: 5x + 3x = 8x 0.75 + 8x = 0.75 + -5x Add '-0.75' to each side of the equation. 0.75 + -0.75 + 8x = 0.75 + -0.75 + -5x Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 8x = 0.75 + -0.75 + -5x 8x = 0.75 + -0.75 + -5x Combine like terms: 0.75 + -0.75 = 0.00 8x = 0.00 + -5x 8x = -5x Solving 8x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8x + 5x = -5x + 5x Combine like terms: 8x + 5x = 13x 13x = -5x + 5x Combine like terms: -5x + 5x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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