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Simplifying 5(x + -8) = 4(8 + x) + -68 Reorder the terms: 5(-8 + x) = 4(8 + x) + -68 (-8 * 5 + x * 5) = 4(8 + x) + -68 (-40 + 5x) = 4(8 + x) + -68 -40 + 5x = (8 * 4 + x * 4) + -68 -40 + 5x = (32 + 4x) + -68 Reorder the terms: -40 + 5x = 32 + -68 + 4x Combine like terms: 32 + -68 = -36 -40 + 5x = -36 + 4x Solving -40 + 5x = -36 + 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 = -36 + 4x + -4x Combine like terms: 5x + -4x = 1x -40 + 1x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 1x = -36 + 0 -40 + 1x = -36 Add '40' to each side of the equation. -40 + 40 + 1x = -36 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = -36 + 40 1x = -36 + 40 Combine like terms: -36 + 40 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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