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Simplifying 8x + -1(7x + 9) = 7x + -15 Reorder the terms: 8x + -1(9 + 7x) = 7x + -15 8x + (9 * -1 + 7x * -1) = 7x + -15 8x + (-9 + -7x) = 7x + -15 Reorder the terms: -9 + 8x + -7x = 7x + -15 Combine like terms: 8x + -7x = 1x -9 + 1x = 7x + -15 Reorder the terms: -9 + 1x = -15 + 7x Solving -9 + 1x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 1x + -7x = -15 + 7x + -7x Combine like terms: 1x + -7x = -6x -9 + -6x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -6x = -15 + 0 -9 + -6x = -15 Add '9' to each side of the equation. -9 + 9 + -6x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -15 + 9 -6x = -15 + 9 Combine like terms: -15 + 9 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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