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Simplifying 0.19x + 0.7(x + -3) = 0.01(5x + -4) Reorder the terms: 0.19x + 0.7(-3 + x) = 0.01(5x + -4) 0.19x + (-3 * 0.7 + x * 0.7) = 0.01(5x + -4) 0.19x + (-2.1 + 0.7x) = 0.01(5x + -4) Reorder the terms: -2.1 + 0.19x + 0.7x = 0.01(5x + -4) Combine like terms: 0.19x + 0.7x = 0.89x -2.1 + 0.89x = 0.01(5x + -4) Reorder the terms: -2.1 + 0.89x = 0.01(-4 + 5x) -2.1 + 0.89x = (-4 * 0.01 + 5x * 0.01) -2.1 + 0.89x = (-0.04 + 0.05x) Solving -2.1 + 0.89x = -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. -2.1 + 0.89x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 0.89x + -0.05x = 0.84x -2.1 + 0.84x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.1 + 0.84x = -0.04 + 0.00 -2.1 + 0.84x = -0.04 Add '2.1' to each side of the equation. -2.1 + 2.1 + 0.84x = -0.04 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 0.84x = -0.04 + 2.1 0.84x = -0.04 + 2.1 Combine like terms: -0.04 + 2.1 = 2.06 0.84x = 2.06 Divide each side by '0.84'. x = 2.452380952 Simplifying x = 2.452380952
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