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Simplifying 5(x + -8) + 21 = 2(x + -5) Reorder the terms: 5(-8 + x) + 21 = 2(x + -5) (-8 * 5 + x * 5) + 21 = 2(x + -5) (-40 + 5x) + 21 = 2(x + -5) Reorder the terms: -40 + 21 + 5x = 2(x + -5) Combine like terms: -40 + 21 = -19 -19 + 5x = 2(x + -5) Reorder the terms: -19 + 5x = 2(-5 + x) -19 + 5x = (-5 * 2 + x * 2) -19 + 5x = (-10 + 2x) Solving -19 + 5x = -10 + 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. -19 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -19 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 3x = -10 + 0 -19 + 3x = -10 Add '19' to each side of the equation. -19 + 19 + 3x = -10 + 19 Combine like terms: -19 + 19 = 0 0 + 3x = -10 + 19 3x = -10 + 19 Combine like terms: -10 + 19 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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