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Simplifying 0.14x + 0.7(x + -2) = 0.01(5x + -4) Reorder the terms: 0.14x + 0.7(-2 + x) = 0.01(5x + -4) 0.14x + (-2 * 0.7 + x * 0.7) = 0.01(5x + -4) 0.14x + (-1.4 + 0.7x) = 0.01(5x + -4) Reorder the terms: -1.4 + 0.14x + 0.7x = 0.01(5x + -4) Combine like terms: 0.14x + 0.7x = 0.84x -1.4 + 0.84x = 0.01(5x + -4) Reorder the terms: -1.4 + 0.84x = 0.01(-4 + 5x) -1.4 + 0.84x = (-4 * 0.01 + 5x * 0.01) -1.4 + 0.84x = (-0.04 + 0.05x) Solving -1.4 + 0.84x = -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. -1.4 + 0.84x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 0.84x + -0.05x = 0.79x -1.4 + 0.79x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.4 + 0.79x = -0.04 + 0.00 -1.4 + 0.79x = -0.04 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.79x = -0.04 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.79x = -0.04 + 1.4 0.79x = -0.04 + 1.4 Combine like terms: -0.04 + 1.4 = 1.36 0.79x = 1.36 Divide each side by '0.79'. x = 1.721518987 Simplifying x = 1.721518987
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