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Simplifying 0.19x + 0.9(x + -1) = 0.01(4x + -2) Reorder the terms: 0.19x + 0.9(-1 + x) = 0.01(4x + -2) 0.19x + (-1 * 0.9 + x * 0.9) = 0.01(4x + -2) 0.19x + (-0.9 + 0.9x) = 0.01(4x + -2) Reorder the terms: -0.9 + 0.19x + 0.9x = 0.01(4x + -2) Combine like terms: 0.19x + 0.9x = 1.09x -0.9 + 1.09x = 0.01(4x + -2) Reorder the terms: -0.9 + 1.09x = 0.01(-2 + 4x) -0.9 + 1.09x = (-2 * 0.01 + 4x * 0.01) -0.9 + 1.09x = (-0.02 + 0.04x) Solving -0.9 + 1.09x = -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. -0.9 + 1.09x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 1.09x + -0.04x = 1.05x -0.9 + 1.05x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.9 + 1.05x = -0.02 + 0.00 -0.9 + 1.05x = -0.02 Add '0.9' to each side of the equation. -0.9 + 0.9 + 1.05x = -0.02 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 1.05x = -0.02 + 0.9 1.05x = -0.02 + 0.9 Combine like terms: -0.02 + 0.9 = 0.88 1.05x = 0.88 Divide each side by '1.05'. x = 0.8380952381 Simplifying x = 0.8380952381
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