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Simplifying 7x + 8(8x + -6) = 3 + -9(1 + -8x) Reorder the terms: 7x + 8(-6 + 8x) = 3 + -9(1 + -8x) 7x + (-6 * 8 + 8x * 8) = 3 + -9(1 + -8x) 7x + (-48 + 64x) = 3 + -9(1 + -8x) Reorder the terms: -48 + 7x + 64x = 3 + -9(1 + -8x) Combine like terms: 7x + 64x = 71x -48 + 71x = 3 + -9(1 + -8x) -48 + 71x = 3 + (1 * -9 + -8x * -9) -48 + 71x = 3 + (-9 + 72x) Combine like terms: 3 + -9 = -6 -48 + 71x = -6 + 72x Solving -48 + 71x = -6 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -48 + 71x + -72x = -6 + 72x + -72x Combine like terms: 71x + -72x = -1x -48 + -1x = -6 + 72x + -72x Combine like terms: 72x + -72x = 0 -48 + -1x = -6 + 0 -48 + -1x = -6 Add '48' to each side of the equation. -48 + 48 + -1x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -6 + 48 -1x = -6 + 48 Combine like terms: -6 + 48 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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