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Simplifying -2x + -7(x + 1) = -2(4x + 9) Reorder the terms: -2x + -7(1 + x) = -2(4x + 9) -2x + (1 * -7 + x * -7) = -2(4x + 9) -2x + (-7 + -7x) = -2(4x + 9) Reorder the terms: -7 + -2x + -7x = -2(4x + 9) Combine like terms: -2x + -7x = -9x -7 + -9x = -2(4x + 9) Reorder the terms: -7 + -9x = -2(9 + 4x) -7 + -9x = (9 * -2 + 4x * -2) -7 + -9x = (-18 + -8x) Solving -7 + -9x = -18 + -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. -7 + -9x + 8x = -18 + -8x + 8x Combine like terms: -9x + 8x = -1x -7 + -1x = -18 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + -1x = -18 + 0 -7 + -1x = -18 Add '7' to each side of the equation. -7 + 7 + -1x = -18 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -18 + 7 -1x = -18 + 7 Combine like terms: -18 + 7 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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