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Simplifying 7.50 = (3x + 0.05) + x + (x + 0.10) Reorder the terms: 7.50 = (0.05 + 3x) + x + (x + 0.10) Remove parenthesis around (0.05 + 3x) 7.50 = 0.05 + 3x + x + (x + 0.10) Reorder the terms: 7.50 = 0.05 + 3x + x + (0.10 + x) Remove parenthesis around (0.10 + x) 7.50 = 0.05 + 3x + x + 0.10 + x Reorder the terms: 7.50 = 0.05 + 0.10 + 3x + x + x Combine like terms: 0.05 + 0.10 = 0.15 7.50 = 0.15 + 3x + x + x Combine like terms: 3x + x = 4x 7.50 = 0.15 + 4x + x Combine like terms: 4x + x = 5x 7.50 = 0.15 + 5x Solving 7.50 = 0.15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7.50 + -5x = 0.15 + 5x + -5x Combine like terms: 5x + -5x = 0 7.50 + -5x = 0.15 + 0 7.50 + -5x = 0.15 Add '-7.50' to each side of the equation. 7.50 + -7.50 + -5x = 0.15 + -7.50 Combine like terms: 7.50 + -7.50 = 0.00 0.00 + -5x = 0.15 + -7.50 -5x = 0.15 + -7.50 Combine like terms: 0.15 + -7.50 = -7.35 -5x = -7.35 Divide each side by '-5'. x = 1.47 Simplifying x = 1.47
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