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Simplifying -32 = 5(x + -8) + 3x Reorder the terms: -32 = 5(-8 + x) + 3x -32 = (-8 * 5 + x * 5) + 3x -32 = (-40 + 5x) + 3x Combine like terms: 5x + 3x = 8x -32 = -40 + 8x Solving -32 = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + -8x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -8x = -40 + 0 -32 + -8x = -40 Add '32' to each side of the equation. -32 + 32 + -8x = -40 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = -40 + 32 -8x = -40 + 32 Combine like terms: -40 + 32 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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