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Simplifying 8(x + 2) + -36 = 2 + 6(1 + -1x) Reorder the terms: 8(2 + x) + -36 = 2 + 6(1 + -1x) (2 * 8 + x * 8) + -36 = 2 + 6(1 + -1x) (16 + 8x) + -36 = 2 + 6(1 + -1x) Reorder the terms: 16 + -36 + 8x = 2 + 6(1 + -1x) Combine like terms: 16 + -36 = -20 -20 + 8x = 2 + 6(1 + -1x) -20 + 8x = 2 + (1 * 6 + -1x * 6) -20 + 8x = 2 + (6 + -6x) Combine like terms: 2 + 6 = 8 -20 + 8x = 8 + -6x Solving -20 + 8x = 8 + -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. -20 + 8x + 6x = 8 + -6x + 6x Combine like terms: 8x + 6x = 14x -20 + 14x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + 14x = 8 + 0 -20 + 14x = 8 Add '20' to each side of the equation. -20 + 20 + 14x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = 8 + 20 14x = 8 + 20 Combine like terms: 8 + 20 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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