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Simplifying -68 = 3x + -1(100 + 2x) -68 = 3x + (100 * -1 + 2x * -1) -68 = 3x + (-100 + -2x) Reorder the terms: -68 = -100 + 3x + -2x Combine like terms: 3x + -2x = 1x -68 = -100 + 1x Solving -68 = -100 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -68 + -1x = -100 + 1x + -1x Combine like terms: 1x + -1x = 0 -68 + -1x = -100 + 0 -68 + -1x = -100 Add '68' to each side of the equation. -68 + 68 + -1x = -100 + 68 Combine like terms: -68 + 68 = 0 0 + -1x = -100 + 68 -1x = -100 + 68 Combine like terms: -100 + 68 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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