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Simplifying -2x + 19 + -4x = 3x + 100 Reorder the terms: 19 + -2x + -4x = 3x + 100 Combine like terms: -2x + -4x = -6x 19 + -6x = 3x + 100 Reorder the terms: 19 + -6x = 100 + 3x Solving 19 + -6x = 100 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + -6x + -3x = 100 + 3x + -3x Combine like terms: -6x + -3x = -9x 19 + -9x = 100 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -9x = 100 + 0 19 + -9x = 100 Add '-19' to each side of the equation. 19 + -19 + -9x = 100 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = 100 + -19 -9x = 100 + -19 Combine like terms: 100 + -19 = 81 -9x = 81 Divide each side by '-9'. x = -9 Simplifying x = -9
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