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Simplifying 0.17x + 0 + -6(x + -5) = 0.01(2x + -4) Reorder the terms: 0.17x + 0 + -6(-5 + x) = 0.01(2x + -4) 0.17x + 0 + (-5 * -6 + x * -6) = 0.01(2x + -4) 0.17x + 0 + (30 + -6x) = 0.01(2x + -4) Reorder the terms: 0 + 30 + 0.17x + -6x = 0.01(2x + -4) Combine like terms: 0 + 30 = 30 30 + 0.17x + -6x = 0.01(2x + -4) Combine like terms: 0.17x + -6x = -5.83x 30 + -5.83x = 0.01(2x + -4) Reorder the terms: 30 + -5.83x = 0.01(-4 + 2x) 30 + -5.83x = (-4 * 0.01 + 2x * 0.01) 30 + -5.83x = (-0.04 + 0.02x) Solving 30 + -5.83x = -0.04 + 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. 30 + -5.83x + -0.02x = -0.04 + 0.02x + -0.02x Combine like terms: -5.83x + -0.02x = -5.85x 30 + -5.85x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 30 + -5.85x = -0.04 + 0.00 30 + -5.85x = -0.04 Add '-30' to each side of the equation. 30 + -30 + -5.85x = -0.04 + -30 Combine like terms: 30 + -30 = 0 0 + -5.85x = -0.04 + -30 -5.85x = -0.04 + -30 Combine like terms: -0.04 + -30 = -30.04 -5.85x = -30.04 Divide each side by '-5.85'. x = 5.135042735 Simplifying x = 5.135042735
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