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Simplifying 5x + 8 + -4x + -6(x + -1) + -4 = 2(x + -11) Reorder the terms: 5x + 8 + -4x + -6(-1 + x) + -4 = 2(x + -11) 5x + 8 + -4x + (-1 * -6 + x * -6) + -4 = 2(x + -11) 5x + 8 + -4x + (6 + -6x) + -4 = 2(x + -11) Reorder the terms: 8 + 6 + -4 + 5x + -4x + -6x = 2(x + -11) Combine like terms: 8 + 6 = 14 14 + -4 + 5x + -4x + -6x = 2(x + -11) Combine like terms: 14 + -4 = 10 10 + 5x + -4x + -6x = 2(x + -11) Combine like terms: 5x + -4x = 1x 10 + 1x + -6x = 2(x + -11) Combine like terms: 1x + -6x = -5x 10 + -5x = 2(x + -11) Reorder the terms: 10 + -5x = 2(-11 + x) 10 + -5x = (-11 * 2 + x * 2) 10 + -5x = (-22 + 2x) Solving 10 + -5x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + -5x + -2x = -22 + 2x + -2x Combine like terms: -5x + -2x = -7x 10 + -7x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -7x = -22 + 0 10 + -7x = -22 Add '-10' to each side of the equation. 10 + -10 + -7x = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -22 + -10 -7x = -22 + -10 Combine like terms: -22 + -10 = -32 -7x = -32 Divide each side by '-7'. x = 4.571428571 Simplifying x = 4.571428571
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