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Simplifying 0.14x + 0.6(x + -4) = 0.01(4x + -4) Reorder the terms: 0.14x + 0.6(-4 + x) = 0.01(4x + -4) 0.14x + (-4 * 0.6 + x * 0.6) = 0.01(4x + -4) 0.14x + (-2.4 + 0.6x) = 0.01(4x + -4) Reorder the terms: -2.4 + 0.14x + 0.6x = 0.01(4x + -4) Combine like terms: 0.14x + 0.6x = 0.74x -2.4 + 0.74x = 0.01(4x + -4) Reorder the terms: -2.4 + 0.74x = 0.01(-4 + 4x) -2.4 + 0.74x = (-4 * 0.01 + 4x * 0.01) -2.4 + 0.74x = (-0.04 + 0.04x) Solving -2.4 + 0.74x = -0.04 + 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. -2.4 + 0.74x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: 0.74x + -0.04x = 0.7x -2.4 + 0.7x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.4 + 0.7x = -0.04 + 0.00 -2.4 + 0.7x = -0.04 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.7x = -0.04 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.7x = -0.04 + 2.4 0.7x = -0.04 + 2.4 Combine like terms: -0.04 + 2.4 = 2.36 0.7x = 2.36 Divide each side by '0.7'. x = 3.371428571 Simplifying x = 3.371428571
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