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Simplifying 1.5(x + 8) = 5.7 + 0.6x Reorder the terms: 1.5(8 + x) = 5.7 + 0.6x (8 * 1.5 + x * 1.5) = 5.7 + 0.6x (12 + 1.5x) = 5.7 + 0.6x Solving 12 + 1.5x = 5.7 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 12 + 1.5x + -0.6x = 5.7 + 0.6x + -0.6x Combine like terms: 1.5x + -0.6x = 0.9x 12 + 0.9x = 5.7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 12 + 0.9x = 5.7 + 0.0 12 + 0.9x = 5.7 Add '-12' to each side of the equation. 12 + -12 + 0.9x = 5.7 + -12 Combine like terms: 12 + -12 = 0 0 + 0.9x = 5.7 + -12 0.9x = 5.7 + -12 Combine like terms: 5.7 + -12 = -6.3 0.9x = -6.3 Divide each side by '0.9'. x = -7 Simplifying x = -7
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