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Simplifying -0.2(x + -6) + 6 = 0.8x + -5 Reorder the terms: -0.2(-6 + x) + 6 = 0.8x + -5 (-6 * -0.2 + x * -0.2) + 6 = 0.8x + -5 (1.2 + -0.2x) + 6 = 0.8x + -5 Reorder the terms: 1.2 + 6 + -0.2x = 0.8x + -5 Combine like terms: 1.2 + 6 = 7.2 7.2 + -0.2x = 0.8x + -5 Reorder the terms: 7.2 + -0.2x = -5 + 0.8x Solving 7.2 + -0.2x = -5 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 7.2 + -0.2x + -0.8x = -5 + 0.8x + -0.8x Combine like terms: -0.2x + -0.8x = -1x 7.2 + -1x = -5 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 7.2 + -1x = -5 + 0.0 7.2 + -1x = -5 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -1x = -5 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -1x = -5 + -7.2 -1x = -5 + -7.2 Combine like terms: -5 + -7.2 = -12.2 -1x = -12.2 Divide each side by '-1'. x = 12.2 Simplifying x = 12.2
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