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Simplifying 9x + -1(3x + -5) = 4x + -1(7 + -6x) Reorder the terms: 9x + -1(-5 + 3x) = 4x + -1(7 + -6x) 9x + (-5 * -1 + 3x * -1) = 4x + -1(7 + -6x) 9x + (5 + -3x) = 4x + -1(7 + -6x) Reorder the terms: 5 + 9x + -3x = 4x + -1(7 + -6x) Combine like terms: 9x + -3x = 6x 5 + 6x = 4x + -1(7 + -6x) 5 + 6x = 4x + (7 * -1 + -6x * -1) 5 + 6x = 4x + (-7 + 6x) Reorder the terms: 5 + 6x = -7 + 4x + 6x Combine like terms: 4x + 6x = 10x 5 + 6x = -7 + 10x Solving 5 + 6x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 6x + -10x = -7 + 10x + -10x Combine like terms: 6x + -10x = -4x 5 + -4x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -4x = -7 + 0 5 + -4x = -7 Add '-5' to each side of the equation. 5 + -5 + -4x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -7 + -5 -4x = -7 + -5 Combine like terms: -7 + -5 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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