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Simplifying 0.16 + 0.8(x + -5) = 0.01(3x + -2) Reorder the terms: 0.16 + 0.8(-5 + x) = 0.01(3x + -2) 0.16 + (-5 * 0.8 + x * 0.8) = 0.01(3x + -2) 0.16 + (-4 + 0.8x) = 0.01(3x + -2) Combine like terms: 0.16 + -4 = -3.84 -3.84 + 0.8x = 0.01(3x + -2) Reorder the terms: -3.84 + 0.8x = 0.01(-2 + 3x) -3.84 + 0.8x = (-2 * 0.01 + 3x * 0.01) -3.84 + 0.8x = (-0.02 + 0.03x) Solving -3.84 + 0.8x = -0.02 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -3.84 + 0.8x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.8x + -0.03x = 0.77x -3.84 + 0.77x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -3.84 + 0.77x = -0.02 + 0.00 -3.84 + 0.77x = -0.02 Add '3.84' to each side of the equation. -3.84 + 3.84 + 0.77x = -0.02 + 3.84 Combine like terms: -3.84 + 3.84 = 0.00 0.00 + 0.77x = -0.02 + 3.84 0.77x = -0.02 + 3.84 Combine like terms: -0.02 + 3.84 = 3.82 0.77x = 3.82 Divide each side by '0.77'. x = 4.961038961 Simplifying x = 4.961038961
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