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Simplifying 0.19x + 0.05(x + -1) = 0.01(4x + -1) Reorder the terms: 0.19x + 0.05(-1 + x) = 0.01(4x + -1) 0.19x + (-1 * 0.05 + x * 0.05) = 0.01(4x + -1) 0.19x + (-0.05 + 0.05x) = 0.01(4x + -1) Reorder the terms: -0.05 + 0.19x + 0.05x = 0.01(4x + -1) Combine like terms: 0.19x + 0.05x = 0.24x -0.05 + 0.24x = 0.01(4x + -1) Reorder the terms: -0.05 + 0.24x = 0.01(-1 + 4x) -0.05 + 0.24x = (-1 * 0.01 + 4x * 0.01) -0.05 + 0.24x = (-0.01 + 0.04x) Solving -0.05 + 0.24x = -0.01 + 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. -0.05 + 0.24x + -0.04x = -0.01 + 0.04x + -0.04x Combine like terms: 0.24x + -0.04x = 0.2x -0.05 + 0.2x = -0.01 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.05 + 0.2x = -0.01 + 0.00 -0.05 + 0.2x = -0.01 Add '0.05' to each side of the equation. -0.05 + 0.05 + 0.2x = -0.01 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + 0.2x = -0.01 + 0.05 0.2x = -0.01 + 0.05 Combine like terms: -0.01 + 0.05 = 0.04 0.2x = 0.04 Divide each side by '0.2'. x = 0.2 Simplifying x = 0.2
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