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Simplifying 0.08(7x + -1.2) + -0.08 = 0.2(-1.2x + 0.05) Reorder the terms: 0.08(-1.2 + 7x) + -0.08 = 0.2(-1.2x + 0.05) (-1.2 * 0.08 + 7x * 0.08) + -0.08 = 0.2(-1.2x + 0.05) (-0.096 + 0.56x) + -0.08 = 0.2(-1.2x + 0.05) Reorder the terms: -0.096 + -0.08 + 0.56x = 0.2(-1.2x + 0.05) Combine like terms: -0.096 + -0.08 = -0.176 -0.176 + 0.56x = 0.2(-1.2x + 0.05) Reorder the terms: -0.176 + 0.56x = 0.2(0.05 + -1.2x) -0.176 + 0.56x = (0.05 * 0.2 + -1.2x * 0.2) -0.176 + 0.56x = (0.01 + -0.24x) Solving -0.176 + 0.56x = 0.01 + -0.24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.24x' to each side of the equation. -0.176 + 0.56x + 0.24x = 0.01 + -0.24x + 0.24x Combine like terms: 0.56x + 0.24x = 0.8x -0.176 + 0.8x = 0.01 + -0.24x + 0.24x Combine like terms: -0.24x + 0.24x = 0.00 -0.176 + 0.8x = 0.01 + 0.00 -0.176 + 0.8x = 0.01 Add '0.176' to each side of the equation. -0.176 + 0.176 + 0.8x = 0.01 + 0.176 Combine like terms: -0.176 + 0.176 = 0.000 0.000 + 0.8x = 0.01 + 0.176 0.8x = 0.01 + 0.176 Combine like terms: 0.01 + 0.176 = 0.186 0.8x = 0.186 Divide each side by '0.8'. x = 0.2325 Simplifying x = 0.2325
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