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Simplifying -7(7 + -4x) + -3(8x + 6) = x + -1 + 8x + -1 (7 * -7 + -4x * -7) + -3(8x + 6) = x + -1 + 8x + -1 (-49 + 28x) + -3(8x + 6) = x + -1 + 8x + -1 Reorder the terms: -49 + 28x + -3(6 + 8x) = x + -1 + 8x + -1 -49 + 28x + (6 * -3 + 8x * -3) = x + -1 + 8x + -1 -49 + 28x + (-18 + -24x) = x + -1 + 8x + -1 Reorder the terms: -49 + -18 + 28x + -24x = x + -1 + 8x + -1 Combine like terms: -49 + -18 = -67 -67 + 28x + -24x = x + -1 + 8x + -1 Combine like terms: 28x + -24x = 4x -67 + 4x = x + -1 + 8x + -1 Reorder the terms: -67 + 4x = -1 + -1 + x + 8x Combine like terms: -1 + -1 = -2 -67 + 4x = -2 + x + 8x Combine like terms: x + 8x = 9x -67 + 4x = -2 + 9x Solving -67 + 4x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -67 + 4x + -9x = -2 + 9x + -9x Combine like terms: 4x + -9x = -5x -67 + -5x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -67 + -5x = -2 + 0 -67 + -5x = -2 Add '67' to each side of the equation. -67 + 67 + -5x = -2 + 67 Combine like terms: -67 + 67 = 0 0 + -5x = -2 + 67 -5x = -2 + 67 Combine like terms: -2 + 67 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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