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Simplifying 0.15x + 0.7(x + -4) = 0.01(5x + -2) Reorder the terms: 0.15x + 0.7(-4 + x) = 0.01(5x + -2) 0.15x + (-4 * 0.7 + x * 0.7) = 0.01(5x + -2) 0.15x + (-2.8 + 0.7x) = 0.01(5x + -2) Reorder the terms: -2.8 + 0.15x + 0.7x = 0.01(5x + -2) Combine like terms: 0.15x + 0.7x = 0.85x -2.8 + 0.85x = 0.01(5x + -2) Reorder the terms: -2.8 + 0.85x = 0.01(-2 + 5x) -2.8 + 0.85x = (-2 * 0.01 + 5x * 0.01) -2.8 + 0.85x = (-0.02 + 0.05x) Solving -2.8 + 0.85x = -0.02 + 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. -2.8 + 0.85x + -0.05x = -0.02 + 0.05x + -0.05x Combine like terms: 0.85x + -0.05x = 0.8x -2.8 + 0.8x = -0.02 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.8 + 0.8x = -0.02 + 0.00 -2.8 + 0.8x = -0.02 Add '2.8' to each side of the equation. -2.8 + 2.8 + 0.8x = -0.02 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 0.8x = -0.02 + 2.8 0.8x = -0.02 + 2.8 Combine like terms: -0.02 + 2.8 = 2.78 0.8x = 2.78 Divide each side by '0.8'. x = 3.475 Simplifying x = 3.475
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