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Simplifying 8(x + -5) = (-7) + 2x Reorder the terms: 8(-5 + x) = (-7) + 2x (-5 * 8 + x * 8) = (-7) + 2x (-40 + 8x) = (-7) + 2x -40 + 8x = -7 + 2x Solving -40 + 8x = -7 + 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. -40 + 8x + -2x = -7 + 2x + -2x Combine like terms: 8x + -2x = 6x -40 + 6x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 6x = -7 + 0 -40 + 6x = -7 Add '40' to each side of the equation. -40 + 40 + 6x = -7 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = -7 + 40 6x = -7 + 40 Combine like terms: -7 + 40 = 33 6x = 33 Divide each side by '6'. x = 5.5 Simplifying x = 5.5
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