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Simplifying 1.5(x + 8) = 6.0 + 0.9x Reorder the terms: 1.5(8 + x) = 6.0 + 0.9x (8 * 1.5 + x * 1.5) = 6.0 + 0.9x (12 + 1.5x) = 6.0 + 0.9x Solving 12 + 1.5x = 6.0 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 12 + 1.5x + -0.9x = 6.0 + 0.9x + -0.9x Combine like terms: 1.5x + -0.9x = 0.6x 12 + 0.6x = 6.0 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 12 + 0.6x = 6.0 + 0.0 12 + 0.6x = 6.0 Add '-12' to each side of the equation. 12 + -12 + 0.6x = 6.0 + -12 Combine like terms: 12 + -12 = 0 0 + 0.6x = 6.0 + -12 0.6x = 6.0 + -12 Combine like terms: 6.0 + -12 = -6 0.6x = -6 Divide each side by '0.6'. x = -10 Simplifying x = -10
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