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Simplifying 0.15x + 0.3(x + -1) = 0.01(5x + -2) Reorder the terms: 0.15x + 0.3(-1 + x) = 0.01(5x + -2) 0.15x + (-1 * 0.3 + x * 0.3) = 0.01(5x + -2) 0.15x + (-0.3 + 0.3x) = 0.01(5x + -2) Reorder the terms: -0.3 + 0.15x + 0.3x = 0.01(5x + -2) Combine like terms: 0.15x + 0.3x = 0.45x -0.3 + 0.45x = 0.01(5x + -2) Reorder the terms: -0.3 + 0.45x = 0.01(-2 + 5x) -0.3 + 0.45x = (-2 * 0.01 + 5x * 0.01) -0.3 + 0.45x = (-0.02 + 0.05x) Solving -0.3 + 0.45x = -0.02 + 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. -0.3 + 0.45x + -0.05x = -0.02 + 0.05x + -0.05x Combine like terms: 0.45x + -0.05x = 0.4x -0.3 + 0.4x = -0.02 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.3 + 0.4x = -0.02 + 0.00 -0.3 + 0.4x = -0.02 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.4x = -0.02 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.4x = -0.02 + 0.3 0.4x = -0.02 + 0.3 Combine like terms: -0.02 + 0.3 = 0.28 0.4x = 0.28 Divide each side by '0.4'. x = 0.7 Simplifying x = 0.7
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