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Simplifying 5(x + -8) + 8 = 2(x + -7) Reorder the terms: 5(-8 + x) + 8 = 2(x + -7) (-8 * 5 + x * 5) + 8 = 2(x + -7) (-40 + 5x) + 8 = 2(x + -7) Reorder the terms: -40 + 8 + 5x = 2(x + -7) Combine like terms: -40 + 8 = -32 -32 + 5x = 2(x + -7) Reorder the terms: -32 + 5x = 2(-7 + x) -32 + 5x = (-7 * 2 + x * 2) -32 + 5x = (-14 + 2x) Solving -32 + 5x = -14 + 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. -32 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x -32 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 3x = -14 + 0 -32 + 3x = -14 Add '32' to each side of the equation. -32 + 32 + 3x = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = -14 + 32 3x = -14 + 32 Combine like terms: -14 + 32 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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