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Simplifying 4(2x + 0.5) + -1.5x + 4.2 = 14 Reorder the terms: 4(0.5 + 2x) + -1.5x + 4.2 = 14 (0.5 * 4 + 2x * 4) + -1.5x + 4.2 = 14 (2 + 8x) + -1.5x + 4.2 = 14 Reorder the terms: 2 + 4.2 + 8x + -1.5x = 14 Combine like terms: 2 + 4.2 = 6.2 6.2 + 8x + -1.5x = 14 Combine like terms: 8x + -1.5x = 6.5x 6.2 + 6.5x = 14 Solving 6.2 + 6.5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.2' to each side of the equation. 6.2 + -6.2 + 6.5x = 14 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + 6.5x = 14 + -6.2 6.5x = 14 + -6.2 Combine like terms: 14 + -6.2 = 7.8 6.5x = 7.8 Divide each side by '6.5'. x = 1.2 Simplifying x = 1.2
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