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Simplifying 41 + 7x + -19 = -3(2 + x) + -4x Reorder the terms: 41 + -19 + 7x = -3(2 + x) + -4x Combine like terms: 41 + -19 = 22 22 + 7x = -3(2 + x) + -4x 22 + 7x = (2 * -3 + x * -3) + -4x 22 + 7x = (-6 + -3x) + -4x Combine like terms: -3x + -4x = -7x 22 + 7x = -6 + -7x Solving 22 + 7x = -6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 22 + 7x + 7x = -6 + -7x + 7x Combine like terms: 7x + 7x = 14x 22 + 14x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 22 + 14x = -6 + 0 22 + 14x = -6 Add '-22' to each side of the equation. 22 + -22 + 14x = -6 + -22 Combine like terms: 22 + -22 = 0 0 + 14x = -6 + -22 14x = -6 + -22 Combine like terms: -6 + -22 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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