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Simplifying 0.14x + 0.6(x + -2) = 0.01(4x + -2) Reorder the terms: 0.14x + 0.6(-2 + x) = 0.01(4x + -2) 0.14x + (-2 * 0.6 + x * 0.6) = 0.01(4x + -2) 0.14x + (-1.2 + 0.6x) = 0.01(4x + -2) Reorder the terms: -1.2 + 0.14x + 0.6x = 0.01(4x + -2) Combine like terms: 0.14x + 0.6x = 0.74x -1.2 + 0.74x = 0.01(4x + -2) Reorder the terms: -1.2 + 0.74x = 0.01(-2 + 4x) -1.2 + 0.74x = (-2 * 0.01 + 4x * 0.01) -1.2 + 0.74x = (-0.02 + 0.04x) Solving -1.2 + 0.74x = -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. -1.2 + 0.74x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.74x + -0.04x = 0.7x -1.2 + 0.7x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -1.2 + 0.7x = -0.02 + 0.00 -1.2 + 0.7x = -0.02 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.7x = -0.02 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.7x = -0.02 + 1.2 0.7x = -0.02 + 1.2 Combine like terms: -0.02 + 1.2 = 1.18 0.7x = 1.18 Divide each side by '0.7'. x = 1.685714286 Simplifying x = 1.685714286
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