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Simplifying -4(x + 2) + 2x + 6 = 5x + 11 Reorder the terms: -4(2 + x) + 2x + 6 = 5x + 11 (2 * -4 + x * -4) + 2x + 6 = 5x + 11 (-8 + -4x) + 2x + 6 = 5x + 11 Reorder the terms: -8 + 6 + -4x + 2x = 5x + 11 Combine like terms: -8 + 6 = -2 -2 + -4x + 2x = 5x + 11 Combine like terms: -4x + 2x = -2x -2 + -2x = 5x + 11 Reorder the terms: -2 + -2x = 11 + 5x Solving -2 + -2x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + -2x + -5x = 11 + 5x + -5x Combine like terms: -2x + -5x = -7x -2 + -7x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -7x = 11 + 0 -2 + -7x = 11 Add '2' to each side of the equation. -2 + 2 + -7x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 11 + 2 -7x = 11 + 2 Combine like terms: 11 + 2 = 13 -7x = 13 Divide each side by '-7'. x = -1.857142857 Simplifying x = -1.857142857
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