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Simplifying 66 = 8(8x + 7) + -2(x + -5) Reorder the terms: 66 = 8(7 + 8x) + -2(x + -5) 66 = (7 * 8 + 8x * 8) + -2(x + -5) 66 = (56 + 64x) + -2(x + -5) Reorder the terms: 66 = 56 + 64x + -2(-5 + x) 66 = 56 + 64x + (-5 * -2 + x * -2) 66 = 56 + 64x + (10 + -2x) Reorder the terms: 66 = 56 + 10 + 64x + -2x Combine like terms: 56 + 10 = 66 66 = 66 + 64x + -2x Combine like terms: 64x + -2x = 62x 66 = 66 + 62x Add '-66' to each side of the equation. 66 + -66 = 66 + -66 + 62x Combine like terms: 66 + -66 = 0 0 = 66 + -66 + 62x Combine like terms: 66 + -66 = 0 0 = 0 + 62x 0 = 62x Solving 0 = 62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62x' to each side of the equation. 0 + -62x = 62x + -62x Remove the zero: -62x = 62x + -62x Combine like terms: 62x + -62x = 0 -62x = 0 Divide each side by '-62'. x = 0 Simplifying x = 0
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