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Simplifying 8x + 10 = 7(x + -8) + -9 Reorder the terms: 10 + 8x = 7(x + -8) + -9 Reorder the terms: 10 + 8x = 7(-8 + x) + -9 10 + 8x = (-8 * 7 + x * 7) + -9 10 + 8x = (-56 + 7x) + -9 Reorder the terms: 10 + 8x = -56 + -9 + 7x Combine like terms: -56 + -9 = -65 10 + 8x = -65 + 7x Solving 10 + 8x = -65 + 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. 10 + 8x + -7x = -65 + 7x + -7x Combine like terms: 8x + -7x = 1x 10 + 1x = -65 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 1x = -65 + 0 10 + 1x = -65 Add '-10' to each side of the equation. 10 + -10 + 1x = -65 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -65 + -10 1x = -65 + -10 Combine like terms: -65 + -10 = -75 1x = -75 Divide each side by '1'. x = -75 Simplifying x = -75
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