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Simplifying -6x + 2x + -11 = 2(2x + 3) + 4 Reorder the terms: -11 + -6x + 2x = 2(2x + 3) + 4 Combine like terms: -6x + 2x = -4x -11 + -4x = 2(2x + 3) + 4 Reorder the terms: -11 + -4x = 2(3 + 2x) + 4 -11 + -4x = (3 * 2 + 2x * 2) + 4 -11 + -4x = (6 + 4x) + 4 Reorder the terms: -11 + -4x = 6 + 4 + 4x Combine like terms: 6 + 4 = 10 -11 + -4x = 10 + 4x Solving -11 + -4x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + -4x + -4x = 10 + 4x + -4x Combine like terms: -4x + -4x = -8x -11 + -8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -8x = 10 + 0 -11 + -8x = 10 Add '11' to each side of the equation. -11 + 11 + -8x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = 10 + 11 -8x = 10 + 11 Combine like terms: 10 + 11 = 21 -8x = 21 Divide each side by '-8'. x = -2.625 Simplifying x = -2.625
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