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Simplifying 5(5x + -8) = 3(8x + -8) + 14 Reorder the terms: 5(-8 + 5x) = 3(8x + -8) + 14 (-8 * 5 + 5x * 5) = 3(8x + -8) + 14 (-40 + 25x) = 3(8x + -8) + 14 Reorder the terms: -40 + 25x = 3(-8 + 8x) + 14 -40 + 25x = (-8 * 3 + 8x * 3) + 14 -40 + 25x = (-24 + 24x) + 14 Reorder the terms: -40 + 25x = -24 + 14 + 24x Combine like terms: -24 + 14 = -10 -40 + 25x = -10 + 24x Solving -40 + 25x = -10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -40 + 25x + -24x = -10 + 24x + -24x Combine like terms: 25x + -24x = 1x -40 + 1x = -10 + 24x + -24x Combine like terms: 24x + -24x = 0 -40 + 1x = -10 + 0 -40 + 1x = -10 Add '40' to each side of the equation. -40 + 40 + 1x = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = -10 + 40 1x = -10 + 40 Combine like terms: -10 + 40 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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