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Simplifying 0.5(2x + 5) + 3 = 3x + 5 Reorder the terms: 0.5(5 + 2x) + 3 = 3x + 5 (5 * 0.5 + 2x * 0.5) + 3 = 3x + 5 (2.5 + 1x) + 3 = 3x + 5 Reorder the terms: 2.5 + 3 + 1x = 3x + 5 Combine like terms: 2.5 + 3 = 5.5 5.5 + 1x = 3x + 5 Reorder the terms: 5.5 + 1x = 5 + 3x Solving 5.5 + 1x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5.5 + 1x + -3x = 5 + 3x + -3x Combine like terms: 1x + -3x = -2x 5.5 + -2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 5.5 + -2x = 5 + 0 5.5 + -2x = 5 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -2x = 5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -2x = 5 + -5.5 -2x = 5 + -5.5 Combine like terms: 5 + -5.5 = -0.5 -2x = -0.5 Divide each side by '-2'. x = 0.25 Simplifying x = 0.25
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