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Simplifying 0.5x + 7.5 = 3.3x + 0.6 Reorder the terms: 7.5 + 0.5x = 3.3x + 0.6 Reorder the terms: 7.5 + 0.5x = 0.6 + 3.3x Solving 7.5 + 0.5x = 0.6 + 3.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.3x' to each side of the equation. 7.5 + 0.5x + -3.3x = 0.6 + 3.3x + -3.3x Combine like terms: 0.5x + -3.3x = -2.8x 7.5 + -2.8x = 0.6 + 3.3x + -3.3x Combine like terms: 3.3x + -3.3x = 0.0 7.5 + -2.8x = 0.6 + 0.0 7.5 + -2.8x = 0.6 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -2.8x = 0.6 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -2.8x = 0.6 + -7.5 -2.8x = 0.6 + -7.5 Combine like terms: 0.6 + -7.5 = -6.9 -2.8x = -6.9 Divide each side by '-2.8'. x = 2.464285714 Simplifying x = 2.464285714
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