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Simplifying -3x + -9 + 1 + -8x = 6(9x + 4) + -7(1 + 10x) Reorder the terms: -9 + 1 + -3x + -8x = 6(9x + 4) + -7(1 + 10x) Combine like terms: -9 + 1 = -8 -8 + -3x + -8x = 6(9x + 4) + -7(1 + 10x) Combine like terms: -3x + -8x = -11x -8 + -11x = 6(9x + 4) + -7(1 + 10x) Reorder the terms: -8 + -11x = 6(4 + 9x) + -7(1 + 10x) -8 + -11x = (4 * 6 + 9x * 6) + -7(1 + 10x) -8 + -11x = (24 + 54x) + -7(1 + 10x) -8 + -11x = 24 + 54x + (1 * -7 + 10x * -7) -8 + -11x = 24 + 54x + (-7 + -70x) Reorder the terms: -8 + -11x = 24 + -7 + 54x + -70x Combine like terms: 24 + -7 = 17 -8 + -11x = 17 + 54x + -70x Combine like terms: 54x + -70x = -16x -8 + -11x = 17 + -16x Solving -8 + -11x = 17 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -8 + -11x + 16x = 17 + -16x + 16x Combine like terms: -11x + 16x = 5x -8 + 5x = 17 + -16x + 16x Combine like terms: -16x + 16x = 0 -8 + 5x = 17 + 0 -8 + 5x = 17 Add '8' to each side of the equation. -8 + 8 + 5x = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 17 + 8 5x = 17 + 8 Combine like terms: 17 + 8 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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