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Simplifying 5(1 + -1x) = -4(3 + -1x) (1 * 5 + -1x * 5) = -4(3 + -1x) (5 + -5x) = -4(3 + -1x) 5 + -5x = (3 * -4 + -1x * -4) 5 + -5x = (-12 + 4x) Solving 5 + -5x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -5x + -4x = -12 + 4x + -4x Combine like terms: -5x + -4x = -9x 5 + -9x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -9x = -12 + 0 5 + -9x = -12 Add '-5' to each side of the equation. 5 + -5 + -9x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -12 + -5 -9x = -12 + -5 Combine like terms: -12 + -5 = -17 -9x = -17 Divide each side by '-9'. x = 1.888888889 Simplifying x = 1.888888889
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