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Simplifying 0.14x + 0.6(x + 5) = 0.01(4x + -3) Reorder the terms: 0.14x + 0.6(5 + x) = 0.01(4x + -3) 0.14x + (5 * 0.6 + x * 0.6) = 0.01(4x + -3) 0.14x + (3 + 0.6x) = 0.01(4x + -3) Reorder the terms: 3 + 0.14x + 0.6x = 0.01(4x + -3) Combine like terms: 0.14x + 0.6x = 0.74x 3 + 0.74x = 0.01(4x + -3) Reorder the terms: 3 + 0.74x = 0.01(-3 + 4x) 3 + 0.74x = (-3 * 0.01 + 4x * 0.01) 3 + 0.74x = (-0.03 + 0.04x) Solving 3 + 0.74x = -0.03 + 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. 3 + 0.74x + -0.04x = -0.03 + 0.04x + -0.04x Combine like terms: 0.74x + -0.04x = 0.7x 3 + 0.7x = -0.03 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 3 + 0.7x = -0.03 + 0.00 3 + 0.7x = -0.03 Add '-3' to each side of the equation. 3 + -3 + 0.7x = -0.03 + -3 Combine like terms: 3 + -3 = 0 0 + 0.7x = -0.03 + -3 0.7x = -0.03 + -3 Combine like terms: -0.03 + -3 = -3.03 0.7x = -3.03 Divide each side by '0.7'. x = -4.328571429 Simplifying x = -4.328571429
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