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Simplifying 4x + -6 + 7(x + 1) = -3 + -4 Reorder the terms: 4x + -6 + 7(1 + x) = -3 + -4 4x + -6 + (1 * 7 + x * 7) = -3 + -4 4x + -6 + (7 + 7x) = -3 + -4 Reorder the terms: -6 + 7 + 4x + 7x = -3 + -4 Combine like terms: -6 + 7 = 1 1 + 4x + 7x = -3 + -4 Combine like terms: 4x + 7x = 11x 1 + 11x = -3 + -4 Combine like terms: -3 + -4 = -7 1 + 11x = -7 Solving 1 + 11x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = -7 + -1 11x = -7 + -1 Combine like terms: -7 + -1 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273
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