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Simplifying 19x + 0.7(x + -3) = 0.01(5x + -4) Reorder the terms: 19x + 0.7(-3 + x) = 0.01(5x + -4) 19x + (-3 * 0.7 + x * 0.7) = 0.01(5x + -4) 19x + (-2.1 + 0.7x) = 0.01(5x + -4) Reorder the terms: -2.1 + 19x + 0.7x = 0.01(5x + -4) Combine like terms: 19x + 0.7x = 19.7x -2.1 + 19.7x = 0.01(5x + -4) Reorder the terms: -2.1 + 19.7x = 0.01(-4 + 5x) -2.1 + 19.7x = (-4 * 0.01 + 5x * 0.01) -2.1 + 19.7x = (-0.04 + 0.05x) Solving -2.1 + 19.7x = -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 + 19.7x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 19.7x + -0.05x = 19.65x -2.1 + 19.65x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.1 + 19.65x = -0.04 + 0.00 -2.1 + 19.65x = -0.04 Add '2.1' to each side of the equation. -2.1 + 2.1 + 19.65x = -0.04 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 19.65x = -0.04 + 2.1 19.65x = -0.04 + 2.1 Combine like terms: -0.04 + 2.1 = 2.06 19.65x = 2.06 Divide each side by '19.65'. x = 0.1048346056 Simplifying x = 0.1048346056
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