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Simplifying 5(x + -8) + 8x = -31 + 4x Reorder the terms: 5(-8 + x) + 8x = -31 + 4x (-8 * 5 + x * 5) + 8x = -31 + 4x (-40 + 5x) + 8x = -31 + 4x Combine like terms: 5x + 8x = 13x -40 + 13x = -31 + 4x Solving -40 + 13x = -31 + 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 + 13x + -4x = -31 + 4x + -4x Combine like terms: 13x + -4x = 9x -40 + 9x = -31 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 9x = -31 + 0 -40 + 9x = -31 Add '40' to each side of the equation. -40 + 40 + 9x = -31 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = -31 + 40 9x = -31 + 40 Combine like terms: -31 + 40 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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