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Simplifying 0.16x + 0.7(x + -4) = 0.01(2x + -1) Reorder the terms: 0.16x + 0.7(-4 + x) = 0.01(2x + -1) 0.16x + (-4 * 0.7 + x * 0.7) = 0.01(2x + -1) 0.16x + (-2.8 + 0.7x) = 0.01(2x + -1) Reorder the terms: -2.8 + 0.16x + 0.7x = 0.01(2x + -1) Combine like terms: 0.16x + 0.7x = 0.86x -2.8 + 0.86x = 0.01(2x + -1) Reorder the terms: -2.8 + 0.86x = 0.01(-1 + 2x) -2.8 + 0.86x = (-1 * 0.01 + 2x * 0.01) -2.8 + 0.86x = (-0.01 + 0.02x) Solving -2.8 + 0.86x = -0.01 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -2.8 + 0.86x + -0.02x = -0.01 + 0.02x + -0.02x Combine like terms: 0.86x + -0.02x = 0.84x -2.8 + 0.84x = -0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -2.8 + 0.84x = -0.01 + 0.00 -2.8 + 0.84x = -0.01 Add '2.8' to each side of the equation. -2.8 + 2.8 + 0.84x = -0.01 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 0.84x = -0.01 + 2.8 0.84x = -0.01 + 2.8 Combine like terms: -0.01 + 2.8 = 2.79 0.84x = 2.79 Divide each side by '0.84'. x = 3.321428571 Simplifying x = 3.321428571
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