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