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Simplifying 1.5(x + 8) = 7.8 + 0.9x Reorder the terms: 1.5(8 + x) = 7.8 + 0.9x (8 * 1.5 + x * 1.5) = 7.8 + 0.9x (12 + 1.5x) = 7.8 + 0.9x Solving 12 + 1.5x = 7.8 + 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 = 7.8 + 0.9x + -0.9x Combine like terms: 1.5x + -0.9x = 0.6x 12 + 0.6x = 7.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 12 + 0.6x = 7.8 + 0.0 12 + 0.6x = 7.8 Add '-12' to each side of the equation. 12 + -12 + 0.6x = 7.8 + -12 Combine like terms: 12 + -12 = 0 0 + 0.6x = 7.8 + -12 0.6x = 7.8 + -12 Combine like terms: 7.8 + -12 = -4.2 0.6x = -4.2 Divide each side by '0.6'. x = -7 Simplifying x = -7
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