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Simplifying 15x + -5x + -6 = 8x + -1(7x + -75) Reorder the terms: -6 + 15x + -5x = 8x + -1(7x + -75) Combine like terms: 15x + -5x = 10x -6 + 10x = 8x + -1(7x + -75) Reorder the terms: -6 + 10x = 8x + -1(-75 + 7x) -6 + 10x = 8x + (-75 * -1 + 7x * -1) -6 + 10x = 8x + (75 + -7x) Reorder the terms: -6 + 10x = 75 + 8x + -7x Combine like terms: 8x + -7x = 1x -6 + 10x = 75 + 1x Solving -6 + 10x = 75 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 10x + -1x = 75 + 1x + -1x Combine like terms: 10x + -1x = 9x -6 + 9x = 75 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 9x = 75 + 0 -6 + 9x = 75 Add '6' to each side of the equation. -6 + 6 + 9x = 75 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 75 + 6 9x = 75 + 6 Combine like terms: 75 + 6 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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