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Simplifying -8x + -10 = x + 8(x + 3) Reorder the terms: -10 + -8x = x + 8(x + 3) Reorder the terms: -10 + -8x = x + 8(3 + x) -10 + -8x = x + (3 * 8 + x * 8) -10 + -8x = x + (24 + 8x) Reorder the terms: -10 + -8x = 24 + x + 8x Combine like terms: x + 8x = 9x -10 + -8x = 24 + 9x Solving -10 + -8x = 24 + 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. -10 + -8x + -9x = 24 + 9x + -9x Combine like terms: -8x + -9x = -17x -10 + -17x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -17x = 24 + 0 -10 + -17x = 24 Add '10' to each side of the equation. -10 + 10 + -17x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + -17x = 24 + 10 -17x = 24 + 10 Combine like terms: 24 + 10 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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