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Simplifying -100 = 2x + 2(3x + -18) Reorder the terms: -100 = 2x + 2(-18 + 3x) -100 = 2x + (-18 * 2 + 3x * 2) -100 = 2x + (-36 + 6x) Reorder the terms: -100 = -36 + 2x + 6x Combine like terms: 2x + 6x = 8x -100 = -36 + 8x Solving -100 = -36 + 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. -100 + -8x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -100 + -8x = -36 + 0 -100 + -8x = -36 Add '100' to each side of the equation. -100 + 100 + -8x = -36 + 100 Combine like terms: -100 + 100 = 0 0 + -8x = -36 + 100 -8x = -36 + 100 Combine like terms: -36 + 100 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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