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Simplifying 5 + -2(x + 6) = 14 + -5x Reorder the terms: 5 + -2(6 + x) = 14 + -5x 5 + (6 * -2 + x * -2) = 14 + -5x 5 + (-12 + -2x) = 14 + -5x Combine like terms: 5 + -12 = -7 -7 + -2x = 14 + -5x Solving -7 + -2x = 14 + -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. -7 + -2x + 5x = 14 + -5x + 5x Combine like terms: -2x + 5x = 3x -7 + 3x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 3x = 14 + 0 -7 + 3x = 14 Add '7' to each side of the equation. -7 + 7 + 3x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 14 + 7 3x = 14 + 7 Combine like terms: 14 + 7 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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