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Simplifying 0.6(8x + 12) + -0.8 = 0.6(18x + -12) Reorder the terms: 0.6(12 + 8x) + -0.8 = 0.6(18x + -12) (12 * 0.6 + 8x * 0.6) + -0.8 = 0.6(18x + -12) (7.2 + 4.8x) + -0.8 = 0.6(18x + -12) Reorder the terms: 7.2 + -0.8 + 4.8x = 0.6(18x + -12) Combine like terms: 7.2 + -0.8 = 6.4 6.4 + 4.8x = 0.6(18x + -12) Reorder the terms: 6.4 + 4.8x = 0.6(-12 + 18x) 6.4 + 4.8x = (-12 * 0.6 + 18x * 0.6) 6.4 + 4.8x = (-7.2 + 10.8x) Solving 6.4 + 4.8x = -7.2 + 10.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.8x' to each side of the equation. 6.4 + 4.8x + -10.8x = -7.2 + 10.8x + -10.8x Combine like terms: 4.8x + -10.8x = -6x 6.4 + -6x = -7.2 + 10.8x + -10.8x Combine like terms: 10.8x + -10.8x = 0.0 6.4 + -6x = -7.2 + 0.0 6.4 + -6x = -7.2 Add '-6.4' to each side of the equation. 6.4 + -6.4 + -6x = -7.2 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -6x = -7.2 + -6.4 -6x = -7.2 + -6.4 Combine like terms: -7.2 + -6.4 = -13.6 -6x = -13.6 Divide each side by '-6'. x = 2.266666667 Simplifying x = 2.266666667
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