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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 = 8x 1 + 8x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 8x = -4 + 0 1 + 8x = -4 Add '-1' to each side of the equation. 1 + -1 + 8x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -4 + -1 8x = -4 + -1 Combine like terms: -4 + -1 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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