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Simplifying 6x + 5 + (-11) + 4x = 12 + (-3x) 6x + 5 + -11 + 4x = 12 + (-3x) Reorder the terms: 5 + -11 + 6x + 4x = 12 + (-3x) Combine like terms: 5 + -11 = -6 -6 + 6x + 4x = 12 + (-3x) Combine like terms: 6x + 4x = 10x -6 + 10x = 12 + (-3x) Solving -6 + 10x = 12 + (-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. -6 + 10x + (3x) = 12 + (-3x) + (3x) Combine like terms: 10x + (3x) = 13x -6 + 13x = 12 + (-3x) + (3x) Combine like terms: (-3x) + (3x) = 0 -6 + 13x = 12 + 0 -6 + 13x = 12 Add '6' to each side of the equation. -6 + 6 + 13x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 12 + 6 13x = 12 + 6 Combine like terms: 12 + 6 = 18 13x = 18 Divide each side by '13'. x = 1.384615385 Simplifying x = 1.384615385
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