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Simplifying 8x + 7 = 7(x + -5) + 9 Reorder the terms: 7 + 8x = 7(x + -5) + 9 Reorder the terms: 7 + 8x = 7(-5 + x) + 9 7 + 8x = (-5 * 7 + x * 7) + 9 7 + 8x = (-35 + 7x) + 9 Reorder the terms: 7 + 8x = -35 + 9 + 7x Combine like terms: -35 + 9 = -26 7 + 8x = -26 + 7x Solving 7 + 8x = -26 + 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. 7 + 8x + -7x = -26 + 7x + -7x Combine like terms: 8x + -7x = 1x 7 + 1x = -26 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 1x = -26 + 0 7 + 1x = -26 Add '-7' to each side of the equation. 7 + -7 + 1x = -26 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -26 + -7 1x = -26 + -7 Combine like terms: -26 + -7 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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