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Simplifying 0.6(x + -6) + 1.6x = -0.6x + 2 Reorder the terms: 0.6(-6 + x) + 1.6x = -0.6x + 2 (-6 * 0.6 + x * 0.6) + 1.6x = -0.6x + 2 (-3.6 + 0.6x) + 1.6x = -0.6x + 2 Combine like terms: 0.6x + 1.6x = 2.2x -3.6 + 2.2x = -0.6x + 2 Reorder the terms: -3.6 + 2.2x = 2 + -0.6x Solving -3.6 + 2.2x = 2 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -3.6 + 2.2x + 0.6x = 2 + -0.6x + 0.6x Combine like terms: 2.2x + 0.6x = 2.8x -3.6 + 2.8x = 2 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -3.6 + 2.8x = 2 + 0.0 -3.6 + 2.8x = 2 Add '3.6' to each side of the equation. -3.6 + 3.6 + 2.8x = 2 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 2.8x = 2 + 3.6 2.8x = 2 + 3.6 Combine like terms: 2 + 3.6 = 5.6 2.8x = 5.6 Divide each side by '2.8'. x = 2 Simplifying x = 2
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