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Simplifying -9x + -5 + 10x = 8(x + 2) Reorder the terms: -5 + -9x + 10x = 8(x + 2) Combine like terms: -9x + 10x = 1x -5 + 1x = 8(x + 2) Reorder the terms: -5 + 1x = 8(2 + x) -5 + 1x = (2 * 8 + x * 8) -5 + 1x = (16 + 8x) Solving -5 + 1x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 1x + -8x = 16 + 8x + -8x Combine like terms: 1x + -8x = -7x -5 + -7x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -7x = 16 + 0 -5 + -7x = 16 Add '5' to each side of the equation. -5 + 5 + -7x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 16 + 5 -7x = 16 + 5 Combine like terms: 16 + 5 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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