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Simplifying 5(4x + -5) = 23 + -1(12x + -16) Reorder the terms: 5(-5 + 4x) = 23 + -1(12x + -16) (-5 * 5 + 4x * 5) = 23 + -1(12x + -16) (-25 + 20x) = 23 + -1(12x + -16) Reorder the terms: -25 + 20x = 23 + -1(-16 + 12x) -25 + 20x = 23 + (-16 * -1 + 12x * -1) -25 + 20x = 23 + (16 + -12x) Combine like terms: 23 + 16 = 39 -25 + 20x = 39 + -12x Solving -25 + 20x = 39 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -25 + 20x + 12x = 39 + -12x + 12x Combine like terms: 20x + 12x = 32x -25 + 32x = 39 + -12x + 12x Combine like terms: -12x + 12x = 0 -25 + 32x = 39 + 0 -25 + 32x = 39 Add '25' to each side of the equation. -25 + 25 + 32x = 39 + 25 Combine like terms: -25 + 25 = 0 0 + 32x = 39 + 25 32x = 39 + 25 Combine like terms: 39 + 25 = 64 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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