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Simplifying 8x + -9 = 7(x + -5) + 5 Reorder the terms: -9 + 8x = 7(x + -5) + 5 Reorder the terms: -9 + 8x = 7(-5 + x) + 5 -9 + 8x = (-5 * 7 + x * 7) + 5 -9 + 8x = (-35 + 7x) + 5 Reorder the terms: -9 + 8x = -35 + 5 + 7x Combine like terms: -35 + 5 = -30 -9 + 8x = -30 + 7x Solving -9 + 8x = -30 + 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 + 8x + -7x = -30 + 7x + -7x Combine like terms: 8x + -7x = 1x -9 + 1x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + 1x = -30 + 0 -9 + 1x = -30 Add '9' to each side of the equation. -9 + 9 + 1x = -30 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -30 + 9 1x = -30 + 9 Combine like terms: -30 + 9 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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