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Simplifying 0.6(2x + -3) = 4x + 1 Reorder the terms: 0.6(-3 + 2x) = 4x + 1 (-3 * 0.6 + 2x * 0.6) = 4x + 1 (-1.8 + 1.2x) = 4x + 1 Reorder the terms: -1.8 + 1.2x = 1 + 4x Solving -1.8 + 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. -1.8 + 1.2x + -4x = 1 + 4x + -4x Combine like terms: 1.2x + -4x = -2.8x -1.8 + -2.8x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -1.8 + -2.8x = 1 + 0 -1.8 + -2.8x = 1 Add '1.8' to each side of the equation. -1.8 + 1.8 + -2.8x = 1 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -2.8x = 1 + 1.8 -2.8x = 1 + 1.8 Combine like terms: 1 + 1.8 = 2.8 -2.8x = 2.8 Divide each side by '-2.8'. x = -1 Simplifying x = -1
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