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