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Simplifying 0.19x + 0.9(x + 1) = 0.01(5x + -4) Reorder the terms: 0.19x + 0.9(1 + x) = 0.01(5x + -4) 0.19x + (1 * 0.9 + x * 0.9) = 0.01(5x + -4) 0.19x + (0.9 + 0.9x) = 0.01(5x + -4) Reorder the terms: 0.9 + 0.19x + 0.9x = 0.01(5x + -4) Combine like terms: 0.19x + 0.9x = 1.09x 0.9 + 1.09x = 0.01(5x + -4) Reorder the terms: 0.9 + 1.09x = 0.01(-4 + 5x) 0.9 + 1.09x = (-4 * 0.01 + 5x * 0.01) 0.9 + 1.09x = (-0.04 + 0.05x) Solving 0.9 + 1.09x = -0.04 + 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. 0.9 + 1.09x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 1.09x + -0.05x = 1.04x 0.9 + 1.04x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.9 + 1.04x = -0.04 + 0.00 0.9 + 1.04x = -0.04 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 1.04x = -0.04 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 1.04x = -0.04 + -0.9 1.04x = -0.04 + -0.9 Combine like terms: -0.04 + -0.9 = -0.94 1.04x = -0.94 Divide each side by '1.04'. x = -0.9038461538 Simplifying x = -0.9038461538
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