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Simplifying 2.605 + 2.071(4.193x + 2.466) = 6.512x + -3 Reorder the terms: 2.605 + 2.071(2.466 + 4.193x) = 6.512x + -3 2.605 + (2.466 * 2.071 + 4.193x * 2.071) = 6.512x + -3 2.605 + (5.107086 + 8.683703x) = 6.512x + -3 Combine like terms: 2.605 + 5.107086 = 7.712086 7.712086 + 8.683703x = 6.512x + -3 Reorder the terms: 7.712086 + 8.683703x = -3 + 6.512x Solving 7.712086 + 8.683703x = -3 + 6.512x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.512x' to each side of the equation. 7.712086 + 8.683703x + -6.512x = -3 + 6.512x + -6.512x Combine like terms: 8.683703x + -6.512x = 2.171703x 7.712086 + 2.171703x = -3 + 6.512x + -6.512x Combine like terms: 6.512x + -6.512x = 0.000 7.712086 + 2.171703x = -3 + 0.000 7.712086 + 2.171703x = -3 Add '-7.712086' to each side of the equation. 7.712086 + -7.712086 + 2.171703x = -3 + -7.712086 Combine like terms: 7.712086 + -7.712086 = 0.000000 0.000000 + 2.171703x = -3 + -7.712086 2.171703x = -3 + -7.712086 Combine like terms: -3 + -7.712086 = -10.712086 2.171703x = -10.712086 Divide each side by '2.171703'. x = -4.932574113 Simplifying x = -4.932574113
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