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Simplifying -7x + -8(x + 7) = -7(2x + 9) Reorder the terms: -7x + -8(7 + x) = -7(2x + 9) -7x + (7 * -8 + x * -8) = -7(2x + 9) -7x + (-56 + -8x) = -7(2x + 9) Reorder the terms: -56 + -7x + -8x = -7(2x + 9) Combine like terms: -7x + -8x = -15x -56 + -15x = -7(2x + 9) Reorder the terms: -56 + -15x = -7(9 + 2x) -56 + -15x = (9 * -7 + 2x * -7) -56 + -15x = (-63 + -14x) Solving -56 + -15x = -63 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -56 + -15x + 14x = -63 + -14x + 14x Combine like terms: -15x + 14x = -1x -56 + -1x = -63 + -14x + 14x Combine like terms: -14x + 14x = 0 -56 + -1x = -63 + 0 -56 + -1x = -63 Add '56' to each side of the equation. -56 + 56 + -1x = -63 + 56 Combine like terms: -56 + 56 = 0 0 + -1x = -63 + 56 -1x = -63 + 56 Combine like terms: -63 + 56 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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