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Simplifying 3(4x + -5) = 8(2x + -5) Reorder the terms: 3(-5 + 4x) = 8(2x + -5) (-5 * 3 + 4x * 3) = 8(2x + -5) (-15 + 12x) = 8(2x + -5) Reorder the terms: -15 + 12x = 8(-5 + 2x) -15 + 12x = (-5 * 8 + 2x * 8) -15 + 12x = (-40 + 16x) Solving -15 + 12x = -40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -15 + 12x + -16x = -40 + 16x + -16x Combine like terms: 12x + -16x = -4x -15 + -4x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 -15 + -4x = -40 + 0 -15 + -4x = -40 Add '15' to each side of the equation. -15 + 15 + -4x = -40 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = -40 + 15 -4x = -40 + 15 Combine like terms: -40 + 15 = -25 -4x = -25 Divide each side by '-4'. x = 6.25 Simplifying x = 6.25
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