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Simplifying 0.12x + 0.24(x + -5) = 0.56x Reorder the terms: 0.12x + 0.24(-5 + x) = 0.56x 0.12x + (-5 * 0.24 + x * 0.24) = 0.56x 0.12x + (-1.2 + 0.24x) = 0.56x Reorder the terms: -1.2 + 0.12x + 0.24x = 0.56x Combine like terms: 0.12x + 0.24x = 0.36x -1.2 + 0.36x = 0.56x Solving -1.2 + 0.36x = 0.56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.56x' to each side of the equation. -1.2 + 0.36x + -0.56x = 0.56x + -0.56x Combine like terms: 0.36x + -0.56x = -0.2x -1.2 + -0.2x = 0.56x + -0.56x Combine like terms: 0.56x + -0.56x = 0.00 -1.2 + -0.2x = 0.00 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.2x = 0.00 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.2x = 0.00 + 1.2 -0.2x = 0.00 + 1.2 Combine like terms: 0.00 + 1.2 = 1.2 -0.2x = 1.2 Divide each side by '-0.2'. x = -6 Simplifying x = -6
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