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Simplifying 2(x + -7) = 11 + 2(4x + -5) Reorder the terms: 2(-7 + x) = 11 + 2(4x + -5) (-7 * 2 + x * 2) = 11 + 2(4x + -5) (-14 + 2x) = 11 + 2(4x + -5) Reorder the terms: -14 + 2x = 11 + 2(-5 + 4x) -14 + 2x = 11 + (-5 * 2 + 4x * 2) -14 + 2x = 11 + (-10 + 8x) Combine like terms: 11 + -10 = 1 -14 + 2x = 1 + 8x Solving -14 + 2x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 2x + -8x = 1 + 8x + -8x Combine like terms: 2x + -8x = -6x -14 + -6x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -6x = 1 + 0 -14 + -6x = 1 Add '14' to each side of the equation. -14 + 14 + -6x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = 1 + 14 -6x = 1 + 14 Combine like terms: 1 + 14 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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