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Simplifying -10 + 6x = 8(x + 1) + -2 Reorder the terms: -10 + 6x = 8(1 + x) + -2 -10 + 6x = (1 * 8 + x * 8) + -2 -10 + 6x = (8 + 8x) + -2 Reorder the terms: -10 + 6x = 8 + -2 + 8x Combine like terms: 8 + -2 = 6 -10 + 6x = 6 + 8x Solving -10 + 6x = 6 + 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. -10 + 6x + -8x = 6 + 8x + -8x Combine like terms: 6x + -8x = -2x -10 + -2x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -2x = 6 + 0 -10 + -2x = 6 Add '10' to each side of the equation. -10 + 10 + -2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 6 + 10 -2x = 6 + 10 Combine like terms: 6 + 10 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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