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Simplifying 1.5(x + 8) = 6.6 + 9x Reorder the terms: 1.5(8 + x) = 6.6 + 9x (8 * 1.5 + x * 1.5) = 6.6 + 9x (12 + 1.5x) = 6.6 + 9x Solving 12 + 1.5x = 6.6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 1.5x + -9x = 6.6 + 9x + -9x Combine like terms: 1.5x + -9x = -7.5x 12 + -7.5x = 6.6 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -7.5x = 6.6 + 0 12 + -7.5x = 6.6 Add '-12' to each side of the equation. 12 + -12 + -7.5x = 6.6 + -12 Combine like terms: 12 + -12 = 0 0 + -7.5x = 6.6 + -12 -7.5x = 6.6 + -12 Combine like terms: 6.6 + -12 = -5.4 -7.5x = -5.4 Divide each side by '-7.5'. x = 0.72 Simplifying x = 0.72
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