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Simplifying 0.12x + 0.6(x + -5) = 0.01(2x + -2) Reorder the terms: 0.12x + 0.6(-5 + x) = 0.01(2x + -2) 0.12x + (-5 * 0.6 + x * 0.6) = 0.01(2x + -2) 0.12x + (-3 + 0.6x) = 0.01(2x + -2) Reorder the terms: -3 + 0.12x + 0.6x = 0.01(2x + -2) Combine like terms: 0.12x + 0.6x = 0.72x -3 + 0.72x = 0.01(2x + -2) Reorder the terms: -3 + 0.72x = 0.01(-2 + 2x) -3 + 0.72x = (-2 * 0.01 + 2x * 0.01) -3 + 0.72x = (-0.02 + 0.02x) Solving -3 + 0.72x = -0.02 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -3 + 0.72x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.72x + -0.02x = 0.7x -3 + 0.7x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -3 + 0.7x = -0.02 + 0.00 -3 + 0.7x = -0.02 Add '3' to each side of the equation. -3 + 3 + 0.7x = -0.02 + 3 Combine like terms: -3 + 3 = 0 0 + 0.7x = -0.02 + 3 0.7x = -0.02 + 3 Combine like terms: -0.02 + 3 = 2.98 0.7x = 2.98 Divide each side by '0.7'. x = 4.257142857 Simplifying x = 4.257142857
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