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Simplifying -9x + -8(x + 5) = -2(8x + 2) Reorder the terms: -9x + -8(5 + x) = -2(8x + 2) -9x + (5 * -8 + x * -8) = -2(8x + 2) -9x + (-40 + -8x) = -2(8x + 2) Reorder the terms: -40 + -9x + -8x = -2(8x + 2) Combine like terms: -9x + -8x = -17x -40 + -17x = -2(8x + 2) Reorder the terms: -40 + -17x = -2(2 + 8x) -40 + -17x = (2 * -2 + 8x * -2) -40 + -17x = (-4 + -16x) Solving -40 + -17x = -4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -40 + -17x + 16x = -4 + -16x + 16x Combine like terms: -17x + 16x = -1x -40 + -1x = -4 + -16x + 16x Combine like terms: -16x + 16x = 0 -40 + -1x = -4 + 0 -40 + -1x = -4 Add '40' to each side of the equation. -40 + 40 + -1x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = -4 + 40 -1x = -4 + 40 Combine like terms: -4 + 40 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36
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