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Simplifying -0.6 + 1.4x = -0.2(x + 6) Reorder the terms: -0.6 + 1.4x = -0.2(6 + x) -0.6 + 1.4x = (6 * -0.2 + x * -0.2) -0.6 + 1.4x = (-1.2 + -0.2x) Solving -0.6 + 1.4x = -1.2 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -0.6 + 1.4x + 0.2x = -1.2 + -0.2x + 0.2x Combine like terms: 1.4x + 0.2x = 1.6x -0.6 + 1.6x = -1.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -0.6 + 1.6x = -1.2 + 0.0 -0.6 + 1.6x = -1.2 Add '0.6' to each side of the equation. -0.6 + 0.6 + 1.6x = -1.2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1.6x = -1.2 + 0.6 1.6x = -1.2 + 0.6 Combine like terms: -1.2 + 0.6 = -0.6 1.6x = -0.6 Divide each side by '1.6'. x = -0.375 Simplifying x = -0.375
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