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Simplifying 4x + -6 + 7(x + 1) = -3x + -4 Reorder the terms: 4x + -6 + 7(1 + x) = -3x + -4 4x + -6 + (1 * 7 + x * 7) = -3x + -4 4x + -6 + (7 + 7x) = -3x + -4 Reorder the terms: -6 + 7 + 4x + 7x = -3x + -4 Combine like terms: -6 + 7 = 1 1 + 4x + 7x = -3x + -4 Combine like terms: 4x + 7x = 11x 1 + 11x = -3x + -4 Reorder the terms: 1 + 11x = -4 + -3x Solving 1 + 11x = -4 + -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. 1 + 11x + 3x = -4 + -3x + 3x Combine like terms: 11x + 3x = 14x 1 + 14x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 14x = -4 + 0 1 + 14x = -4 Add '-1' to each side of the equation. 1 + -1 + 14x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = -4 + -1 14x = -4 + -1 Combine like terms: -4 + -1 = -5 14x = -5 Divide each side by '14'. x = -0.3571428571 Simplifying x = -0.3571428571
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