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Simplifying 3x + -1(4x + -5) = 5(3x + -7) Reorder the terms: 3x + -1(-5 + 4x) = 5(3x + -7) 3x + (-5 * -1 + 4x * -1) = 5(3x + -7) 3x + (5 + -4x) = 5(3x + -7) Reorder the terms: 5 + 3x + -4x = 5(3x + -7) Combine like terms: 3x + -4x = -1x 5 + -1x = 5(3x + -7) Reorder the terms: 5 + -1x = 5(-7 + 3x) 5 + -1x = (-7 * 5 + 3x * 5) 5 + -1x = (-35 + 15x) Solving 5 + -1x = -35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + -1x + -15x = -35 + 15x + -15x Combine like terms: -1x + -15x = -16x 5 + -16x = -35 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -16x = -35 + 0 5 + -16x = -35 Add '-5' to each side of the equation. 5 + -5 + -16x = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = -35 + -5 -16x = -35 + -5 Combine like terms: -35 + -5 = -40 -16x = -40 Divide each side by '-16'. x = 2.5 Simplifying x = 2.5
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