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Simplifying 0.22x + 0.6(x + -8) = 0.01(2x + -3) Reorder the terms: 0.22x + 0.6(-8 + x) = 0.01(2x + -3) 0.22x + (-8 * 0.6 + x * 0.6) = 0.01(2x + -3) 0.22x + (-4.8 + 0.6x) = 0.01(2x + -3) Reorder the terms: -4.8 + 0.22x + 0.6x = 0.01(2x + -3) Combine like terms: 0.22x + 0.6x = 0.82x -4.8 + 0.82x = 0.01(2x + -3) Reorder the terms: -4.8 + 0.82x = 0.01(-3 + 2x) -4.8 + 0.82x = (-3 * 0.01 + 2x * 0.01) -4.8 + 0.82x = (-0.03 + 0.02x) Solving -4.8 + 0.82x = -0.03 + 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. -4.8 + 0.82x + -0.02x = -0.03 + 0.02x + -0.02x Combine like terms: 0.82x + -0.02x = 0.8x -4.8 + 0.8x = -0.03 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -4.8 + 0.8x = -0.03 + 0.00 -4.8 + 0.8x = -0.03 Add '4.8' to each side of the equation. -4.8 + 4.8 + 0.8x = -0.03 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 0.8x = -0.03 + 4.8 0.8x = -0.03 + 4.8 Combine like terms: -0.03 + 4.8 = 4.77 0.8x = 4.77 Divide each side by '0.8'. x = 5.9625 Simplifying x = 5.9625
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