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Simplifying 0.6(2x + -4) = 4x + 1 Reorder the terms: 0.6(-4 + 2x) = 4x + 1 (-4 * 0.6 + 2x * 0.6) = 4x + 1 (-2.4 + 1.2x) = 4x + 1 Reorder the terms: -2.4 + 1.2x = 1 + 4x Solving -2.4 + 1.2x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2.4 + 1.2x + -4x = 1 + 4x + -4x Combine like terms: 1.2x + -4x = -2.8x -2.4 + -2.8x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -2.4 + -2.8x = 1 + 0 -2.4 + -2.8x = 1 Add '2.4' to each side of the equation. -2.4 + 2.4 + -2.8x = 1 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -2.8x = 1 + 2.4 -2.8x = 1 + 2.4 Combine like terms: 1 + 2.4 = 3.4 -2.8x = 3.4 Divide each side by '-2.8'. x = -1.214285714 Simplifying x = -1.214285714
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