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Simplifying 8(x + -5) = 7x + -34 Reorder the terms: 8(-5 + x) = 7x + -34 (-5 * 8 + x * 8) = 7x + -34 (-40 + 8x) = 7x + -34 Reorder the terms: -40 + 8x = -34 + 7x Solving -40 + 8x = -34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -40 + 8x + -7x = -34 + 7x + -7x Combine like terms: 8x + -7x = 1x -40 + 1x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 1x = -34 + 0 -40 + 1x = -34 Add '40' to each side of the equation. -40 + 40 + 1x = -34 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = -34 + 40 1x = -34 + 40 Combine like terms: -34 + 40 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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