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Simplifying 0.15x + 0.9(x + -2) = 0.01(3x + -2) Reorder the terms: 0.15x + 0.9(-2 + x) = 0.01(3x + -2) 0.15x + (-2 * 0.9 + x * 0.9) = 0.01(3x + -2) 0.15x + (-1.8 + 0.9x) = 0.01(3x + -2) Reorder the terms: -1.8 + 0.15x + 0.9x = 0.01(3x + -2) Combine like terms: 0.15x + 0.9x = 1.05x -1.8 + 1.05x = 0.01(3x + -2) Reorder the terms: -1.8 + 1.05x = 0.01(-2 + 3x) -1.8 + 1.05x = (-2 * 0.01 + 3x * 0.01) -1.8 + 1.05x = (-0.02 + 0.03x) Solving -1.8 + 1.05x = -0.02 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1.8 + 1.05x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 1.05x + -0.03x = 1.02x -1.8 + 1.02x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.8 + 1.02x = -0.02 + 0.00 -1.8 + 1.02x = -0.02 Add '1.8' to each side of the equation. -1.8 + 1.8 + 1.02x = -0.02 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 1.02x = -0.02 + 1.8 1.02x = -0.02 + 1.8 Combine like terms: -0.02 + 1.8 = 1.78 1.02x = 1.78 Divide each side by '1.02'. x = 1.745098039 Simplifying x = 1.745098039
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