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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 = -1x 5 + -1x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + -1x = 12 + 0 5 + -1x = 12 Add '-5' to each side of the equation. 5 + -5 + -1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 12 + -5 -1x = 12 + -5 Combine like terms: 12 + -5 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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