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Simplifying -8(2x + -5) = -5(3x + 7) Reorder the terms: -8(-5 + 2x) = -5(3x + 7) (-5 * -8 + 2x * -8) = -5(3x + 7) (40 + -16x) = -5(3x + 7) Reorder the terms: 40 + -16x = -5(7 + 3x) 40 + -16x = (7 * -5 + 3x * -5) 40 + -16x = (-35 + -15x) Solving 40 + -16x = -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. 40 + -16x + 15x = -35 + -15x + 15x Combine like terms: -16x + 15x = -1x 40 + -1x = -35 + -15x + 15x Combine like terms: -15x + 15x = 0 40 + -1x = -35 + 0 40 + -1x = -35 Add '-40' to each side of the equation. 40 + -40 + -1x = -35 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = -35 + -40 -1x = -35 + -40 Combine like terms: -35 + -40 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75
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