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Simplifying 0.12x + 0.3(x + -1) = 0.01(4x + -2) Reorder the terms: 0.12x + 0.3(-1 + x) = 0.01(4x + -2) 0.12x + (-1 * 0.3 + x * 0.3) = 0.01(4x + -2) 0.12x + (-0.3 + 0.3x) = 0.01(4x + -2) Reorder the terms: -0.3 + 0.12x + 0.3x = 0.01(4x + -2) Combine like terms: 0.12x + 0.3x = 0.42x -0.3 + 0.42x = 0.01(4x + -2) Reorder the terms: -0.3 + 0.42x = 0.01(-2 + 4x) -0.3 + 0.42x = (-2 * 0.01 + 4x * 0.01) -0.3 + 0.42x = (-0.02 + 0.04x) Solving -0.3 + 0.42x = -0.02 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.3 + 0.42x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.42x + -0.04x = 0.38x -0.3 + 0.38x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.3 + 0.38x = -0.02 + 0.00 -0.3 + 0.38x = -0.02 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.38x = -0.02 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.38x = -0.02 + 0.3 0.38x = -0.02 + 0.3 Combine like terms: -0.02 + 0.3 = 0.28 0.38x = 0.28 Divide each side by '0.38'. x = 0.7368421053 Simplifying x = 0.7368421053
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