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Simplifying x + -1(x + 4) = x + 7(x + -8) Reorder the terms: x + -1(4 + x) = x + 7(x + -8) x + (4 * -1 + x * -1) = x + 7(x + -8) x + (-4 + -1x) = x + 7(x + -8) Reorder the terms: -4 + x + -1x = x + 7(x + -8) Combine like terms: x + -1x = 0 -4 + 0 = x + 7(x + -8) -4 = x + 7(x + -8) Reorder the terms: -4 = x + 7(-8 + x) -4 = x + (-8 * 7 + x * 7) -4 = x + (-56 + 7x) Reorder the terms: -4 = -56 + x + 7x Combine like terms: x + 7x = 8x -4 = -56 + 8x Solving -4 = -56 + 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. -4 + -8x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -8x = -56 + 0 -4 + -8x = -56 Add '4' to each side of the equation. -4 + 4 + -8x = -56 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -56 + 4 -8x = -56 + 4 Combine like terms: -56 + 4 = -52 -8x = -52 Divide each side by '-8'. x = 6.5 Simplifying x = 6.5
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