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Simplifying (0.15) * 84 + 0.15x + (0.225) * 78 + (1.5) + 72 = 82 Multiply 0.15 * 84 12.6 + 0.15x + (0.225) * 78 + (1.5) + 72 = 82 Multiply 0.225 * 78 12.6 + 0.15x + 17.55 + (1.5) + 72 = 82 12.6 + 0.15x + 17.55 + 1.5 + 72 = 82 Reorder the terms: 12.6 + 17.55 + 1.5 + 72 + 0.15x = 82 Combine like terms: 12.6 + 17.55 = 30.15 30.15 + 1.5 + 72 + 0.15x = 82 Combine like terms: 30.15 + 1.5 = 31.65 31.65 + 72 + 0.15x = 82 Combine like terms: 31.65 + 72 = 103.65 103.65 + 0.15x = 82 Solving 103.65 + 0.15x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-103.65' to each side of the equation. 103.65 + -103.65 + 0.15x = 82 + -103.65 Combine like terms: 103.65 + -103.65 = 0.00 0.00 + 0.15x = 82 + -103.65 0.15x = 82 + -103.65 Combine like terms: 82 + -103.65 = -21.65 0.15x = -21.65 Divide each side by '0.15'. x = -144.3333333 Simplifying x = -144.3333333
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