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Simplifying 2x + 1 + -3x + 5 = 0.25(2x + 8) Reorder the terms: 1 + 5 + 2x + -3x = 0.25(2x + 8) Combine like terms: 1 + 5 = 6 6 + 2x + -3x = 0.25(2x + 8) Combine like terms: 2x + -3x = -1x 6 + -1x = 0.25(2x + 8) Reorder the terms: 6 + -1x = 0.25(8 + 2x) 6 + -1x = (8 * 0.25 + 2x * 0.25) 6 + -1x = (2 + 0.5x) Solving 6 + -1x = 2 + 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. 6 + -1x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: -1x + -0.5x = -1.5x 6 + -1.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -1.5x = 2 + 0.0 6 + -1.5x = 2 Add '-6' to each side of the equation. 6 + -6 + -1.5x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1.5x = 2 + -6 -1.5x = 2 + -6 Combine like terms: 2 + -6 = -4 -1.5x = -4 Divide each side by '-1.5'. x = 2.666666667 Simplifying x = 2.666666667
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