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Simplifying 0.12x + 0.9(x + -3) = 0.01(5x + -3) Reorder the terms: 0.12x + 0.9(-3 + x) = 0.01(5x + -3) 0.12x + (-3 * 0.9 + x * 0.9) = 0.01(5x + -3) 0.12x + (-2.7 + 0.9x) = 0.01(5x + -3) Reorder the terms: -2.7 + 0.12x + 0.9x = 0.01(5x + -3) Combine like terms: 0.12x + 0.9x = 1.02x -2.7 + 1.02x = 0.01(5x + -3) Reorder the terms: -2.7 + 1.02x = 0.01(-3 + 5x) -2.7 + 1.02x = (-3 * 0.01 + 5x * 0.01) -2.7 + 1.02x = (-0.03 + 0.05x) Solving -2.7 + 1.02x = -0.03 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -2.7 + 1.02x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 1.02x + -0.05x = 0.97x -2.7 + 0.97x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.7 + 0.97x = -0.03 + 0.00 -2.7 + 0.97x = -0.03 Add '2.7' to each side of the equation. -2.7 + 2.7 + 0.97x = -0.03 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 0.97x = -0.03 + 2.7 0.97x = -0.03 + 2.7 Combine like terms: -0.03 + 2.7 = 2.67 0.97x = 2.67 Divide each side by '0.97'. x = 2.75257732 Simplifying x = 2.75257732
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