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Simplifying 8(x + -4) + -2 = 6x + 2 Reorder the terms: 8(-4 + x) + -2 = 6x + 2 (-4 * 8 + x * 8) + -2 = 6x + 2 (-32 + 8x) + -2 = 6x + 2 Reorder the terms: -32 + -2 + 8x = 6x + 2 Combine like terms: -32 + -2 = -34 -34 + 8x = 6x + 2 Reorder the terms: -34 + 8x = 2 + 6x Solving -34 + 8x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -34 + 8x + -6x = 2 + 6x + -6x Combine like terms: 8x + -6x = 2x -34 + 2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + 2x = 2 + 0 -34 + 2x = 2 Add '34' to each side of the equation. -34 + 34 + 2x = 2 + 34 Combine like terms: -34 + 34 = 0 0 + 2x = 2 + 34 2x = 2 + 34 Combine like terms: 2 + 34 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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