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Simplifying 6.4(x + 1.2) = -27.08 + -1.5x Reorder the terms: 6.4(1.2 + x) = -27.08 + -1.5x (1.2 * 6.4 + x * 6.4) = -27.08 + -1.5x (7.68 + 6.4x) = -27.08 + -1.5x Solving 7.68 + 6.4x = -27.08 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 7.68 + 6.4x + 1.5x = -27.08 + -1.5x + 1.5x Combine like terms: 6.4x + 1.5x = 7.9x 7.68 + 7.9x = -27.08 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 7.68 + 7.9x = -27.08 + 0.0 7.68 + 7.9x = -27.08 Add '-7.68' to each side of the equation. 7.68 + -7.68 + 7.9x = -27.08 + -7.68 Combine like terms: 7.68 + -7.68 = 0.00 0.00 + 7.9x = -27.08 + -7.68 7.9x = -27.08 + -7.68 Combine like terms: -27.08 + -7.68 = -34.76 7.9x = -34.76 Divide each side by '7.9'. x = -4.4 Simplifying x = -4.4
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