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Simplifying 0.5x + -0.6 = 0.6(2x + -1) + -0.14 Reorder the terms: -0.6 + 0.5x = 0.6(2x + -1) + -0.14 Reorder the terms: -0.6 + 0.5x = 0.6(-1 + 2x) + -0.14 -0.6 + 0.5x = (-1 * 0.6 + 2x * 0.6) + -0.14 -0.6 + 0.5x = (-0.6 + 1.2x) + -0.14 Reorder the terms: -0.6 + 0.5x = -0.6 + -0.14 + 1.2x Combine like terms: -0.6 + -0.14 = -0.74 -0.6 + 0.5x = -0.74 + 1.2x Solving -0.6 + 0.5x = -0.74 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -0.6 + 0.5x + -1.2x = -0.74 + 1.2x + -1.2x Combine like terms: 0.5x + -1.2x = -0.7x -0.6 + -0.7x = -0.74 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -0.6 + -0.7x = -0.74 + 0.0 -0.6 + -0.7x = -0.74 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.7x = -0.74 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.7x = -0.74 + 0.6 -0.7x = -0.74 + 0.6 Combine like terms: -0.74 + 0.6 = -0.14 -0.7x = -0.14 Divide each side by '-0.7'. x = 0.2 Simplifying x = 0.2
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