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Simplifying -7(x + 9) = -8(x + -11) Reorder the terms: -7(9 + x) = -8(x + -11) (9 * -7 + x * -7) = -8(x + -11) (-63 + -7x) = -8(x + -11) Reorder the terms: -63 + -7x = -8(-11 + x) -63 + -7x = (-11 * -8 + x * -8) -63 + -7x = (88 + -8x) Solving -63 + -7x = 88 + -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. -63 + -7x + 8x = 88 + -8x + 8x Combine like terms: -7x + 8x = 1x -63 + 1x = 88 + -8x + 8x Combine like terms: -8x + 8x = 0 -63 + 1x = 88 + 0 -63 + 1x = 88 Add '63' to each side of the equation. -63 + 63 + 1x = 88 + 63 Combine like terms: -63 + 63 = 0 0 + 1x = 88 + 63 1x = 88 + 63 Combine like terms: 88 + 63 = 151 1x = 151 Divide each side by '1'. x = 151 Simplifying x = 151
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