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Simplifying 4x + 5 + 6(x + 1) = -1(-3x + -6) Reorder the terms: 4x + 5 + 6(1 + x) = -1(-3x + -6) 4x + 5 + (1 * 6 + x * 6) = -1(-3x + -6) 4x + 5 + (6 + 6x) = -1(-3x + -6) Reorder the terms: 5 + 6 + 4x + 6x = -1(-3x + -6) Combine like terms: 5 + 6 = 11 11 + 4x + 6x = -1(-3x + -6) Combine like terms: 4x + 6x = 10x 11 + 10x = -1(-3x + -6) Reorder the terms: 11 + 10x = -1(-6 + -3x) 11 + 10x = (-6 * -1 + -3x * -1) 11 + 10x = (6 + 3x) Solving 11 + 10x = 6 + 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. 11 + 10x + -3x = 6 + 3x + -3x Combine like terms: 10x + -3x = 7x 11 + 7x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 7x = 6 + 0 11 + 7x = 6 Add '-11' to each side of the equation. 11 + -11 + 7x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 6 + -11 7x = 6 + -11 Combine like terms: 6 + -11 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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