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Simplifying 5(x + -8) = 4(x + 3) Reorder the terms: 5(-8 + x) = 4(x + 3) (-8 * 5 + x * 5) = 4(x + 3) (-40 + 5x) = 4(x + 3) Reorder the terms: -40 + 5x = 4(3 + x) -40 + 5x = (3 * 4 + x * 4) -40 + 5x = (12 + 4x) Solving -40 + 5x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -40 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -40 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 1x = 12 + 0 -40 + 1x = 12 Add '40' to each side of the equation. -40 + 40 + 1x = 12 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = 12 + 40 1x = 12 + 40 Combine like terms: 12 + 40 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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