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Simplifying 6(x + -6) + 2 = 8(x + 2) + -10 Reorder the terms: 6(-6 + x) + 2 = 8(x + 2) + -10 (-6 * 6 + x * 6) + 2 = 8(x + 2) + -10 (-36 + 6x) + 2 = 8(x + 2) + -10 Reorder the terms: -36 + 2 + 6x = 8(x + 2) + -10 Combine like terms: -36 + 2 = -34 -34 + 6x = 8(x + 2) + -10 Reorder the terms: -34 + 6x = 8(2 + x) + -10 -34 + 6x = (2 * 8 + x * 8) + -10 -34 + 6x = (16 + 8x) + -10 Reorder the terms: -34 + 6x = 16 + -10 + 8x Combine like terms: 16 + -10 = 6 -34 + 6x = 6 + 8x Solving -34 + 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. -34 + 6x + -8x = 6 + 8x + -8x Combine like terms: 6x + -8x = -2x -34 + -2x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -2x = 6 + 0 -34 + -2x = 6 Add '34' to each side of the equation. -34 + 34 + -2x = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = 6 + 34 -2x = 6 + 34 Combine like terms: 6 + 34 = 40 -2x = 40 Divide each side by '-2'. x = -20 Simplifying x = -20
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