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Simplifying -7(2x + -1x) = -8(x + 5) Combine like terms: 2x + -1x = 1x -7(1x) = -8(x + 5) Remove parenthesis around (1x) -7 * 1x = -8(x + 5) Multiply -7 * 1 -7x = -8(x + 5) Reorder the terms: -7x = -8(5 + x) -7x = (5 * -8 + x * -8) -7x = (-40 + -8x) Solving -7x = -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. -7x + 8x = -40 + -8x + 8x Combine like terms: -7x + 8x = 1x 1x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 1x = -40 + 0 1x = -40 Divide each side by '1'. x = -40 Simplifying x = -40
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