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Simplifying 0.5(6x + -8) = 1.2(x + -5) + -0.2 Reorder the terms: 0.5(-8 + 6x) = 1.2(x + -5) + -0.2 (-8 * 0.5 + 6x * 0.5) = 1.2(x + -5) + -0.2 (-4 + 3x) = 1.2(x + -5) + -0.2 Reorder the terms: -4 + 3x = 1.2(-5 + x) + -0.2 -4 + 3x = (-5 * 1.2 + x * 1.2) + -0.2 -4 + 3x = (-6 + 1.2x) + -0.2 Reorder the terms: -4 + 3x = -6 + -0.2 + 1.2x Combine like terms: -6 + -0.2 = -6.2 -4 + 3x = -6.2 + 1.2x Solving -4 + 3x = -6.2 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -4 + 3x + -1.2x = -6.2 + 1.2x + -1.2x Combine like terms: 3x + -1.2x = 1.8x -4 + 1.8x = -6.2 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -4 + 1.8x = -6.2 + 0.0 -4 + 1.8x = -6.2 Add '4' to each side of the equation. -4 + 4 + 1.8x = -6.2 + 4 Combine like terms: -4 + 4 = 0 0 + 1.8x = -6.2 + 4 1.8x = -6.2 + 4 Combine like terms: -6.2 + 4 = -2.2 1.8x = -2.2 Divide each side by '1.8'. x = -1.222222222 Simplifying x = -1.222222222
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