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Simplifying 5 + 2(2x + -7) = 6x + 11 Reorder the terms: 5 + 2(-7 + 2x) = 6x + 11 5 + (-7 * 2 + 2x * 2) = 6x + 11 5 + (-14 + 4x) = 6x + 11 Combine like terms: 5 + -14 = -9 -9 + 4x = 6x + 11 Reorder the terms: -9 + 4x = 11 + 6x Solving -9 + 4x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 4x + -6x = 11 + 6x + -6x Combine like terms: 4x + -6x = -2x -9 + -2x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -2x = 11 + 0 -9 + -2x = 11 Add '9' to each side of the equation. -9 + 9 + -2x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 11 + 9 -2x = 11 + 9 Combine like terms: 11 + 9 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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