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Simplifying -1x + -40 = 8x + 8(x + -5) Reorder the terms: -40 + -1x = 8x + 8(x + -5) Reorder the terms: -40 + -1x = 8x + 8(-5 + x) -40 + -1x = 8x + (-5 * 8 + x * 8) -40 + -1x = 8x + (-40 + 8x) Reorder the terms: -40 + -1x = -40 + 8x + 8x Combine like terms: 8x + 8x = 16x -40 + -1x = -40 + 16x Add '40' to each side of the equation. -40 + 40 + -1x = -40 + 40 + 16x Combine like terms: -40 + 40 = 0 0 + -1x = -40 + 40 + 16x -1x = -40 + 40 + 16x Combine like terms: -40 + 40 = 0 -1x = 0 + 16x -1x = 16x Solving -1x = 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. -1x + -16x = 16x + -16x Combine like terms: -1x + -16x = -17x -17x = 16x + -16x Combine like terms: 16x + -16x = 0 -17x = 0 Divide each side by '-17'. x = 0 Simplifying x = 0
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