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Simplifying 5(x + -8) = 2(x + -8) + 21 Reorder the terms: 5(-8 + x) = 2(x + -8) + 21 (-8 * 5 + x * 5) = 2(x + -8) + 21 (-40 + 5x) = 2(x + -8) + 21 Reorder the terms: -40 + 5x = 2(-8 + x) + 21 -40 + 5x = (-8 * 2 + x * 2) + 21 -40 + 5x = (-16 + 2x) + 21 Reorder the terms: -40 + 5x = -16 + 21 + 2x Combine like terms: -16 + 21 = 5 -40 + 5x = 5 + 2x Solving -40 + 5x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 5x + -2x = 5 + 2x + -2x Combine like terms: 5x + -2x = 3x -40 + 3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 3x = 5 + 0 -40 + 3x = 5 Add '40' to each side of the equation. -40 + 40 + 3x = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 5 + 40 3x = 5 + 40 Combine like terms: 5 + 40 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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