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Simplifying x + 0.5 + -6x = -2.8x + 6 Reorder the terms: 0.5 + x + -6x = -2.8x + 6 Combine like terms: x + -6x = -5x 0.5 + -5x = -2.8x + 6 Reorder the terms: 0.5 + -5x = 6 + -2.8x Solving 0.5 + -5x = 6 + -2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.8x' to each side of the equation. 0.5 + -5x + 2.8x = 6 + -2.8x + 2.8x Combine like terms: -5x + 2.8x = -2.2x 0.5 + -2.2x = 6 + -2.8x + 2.8x Combine like terms: -2.8x + 2.8x = 0.0 0.5 + -2.2x = 6 + 0.0 0.5 + -2.2x = 6 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -2.2x = 6 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2.2x = 6 + -0.5 -2.2x = 6 + -0.5 Combine like terms: 6 + -0.5 = 5.5 -2.2x = 5.5 Divide each side by '-2.2'. x = -2.5 Simplifying x = -2.5
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