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Simplifying 4 + 2(x + -8) = 11 + -2(x + -6) Reorder the terms: 4 + 2(-8 + x) = 11 + -2(x + -6) 4 + (-8 * 2 + x * 2) = 11 + -2(x + -6) 4 + (-16 + 2x) = 11 + -2(x + -6) Combine like terms: 4 + -16 = -12 -12 + 2x = 11 + -2(x + -6) Reorder the terms: -12 + 2x = 11 + -2(-6 + x) -12 + 2x = 11 + (-6 * -2 + x * -2) -12 + 2x = 11 + (12 + -2x) Combine like terms: 11 + 12 = 23 -12 + 2x = 23 + -2x Solving -12 + 2x = 23 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 2x + 2x = 23 + -2x + 2x Combine like terms: 2x + 2x = 4x -12 + 4x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 4x = 23 + 0 -12 + 4x = 23 Add '12' to each side of the equation. -12 + 12 + 4x = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 23 + 12 4x = 23 + 12 Combine like terms: 23 + 12 = 35 4x = 35 Divide each side by '4'. x = 8.75 Simplifying x = 8.75
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