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Simplifying 14(x + 2) + 8 = 2(x + -6) Reorder the terms: 14(2 + x) + 8 = 2(x + -6) (2 * 14 + x * 14) + 8 = 2(x + -6) (28 + 14x) + 8 = 2(x + -6) Reorder the terms: 28 + 8 + 14x = 2(x + -6) Combine like terms: 28 + 8 = 36 36 + 14x = 2(x + -6) Reorder the terms: 36 + 14x = 2(-6 + x) 36 + 14x = (-6 * 2 + x * 2) 36 + 14x = (-12 + 2x) Solving 36 + 14x = -12 + 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. 36 + 14x + -2x = -12 + 2x + -2x Combine like terms: 14x + -2x = 12x 36 + 12x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 12x = -12 + 0 36 + 12x = -12 Add '-36' to each side of the equation. 36 + -36 + 12x = -12 + -36 Combine like terms: 36 + -36 = 0 0 + 12x = -12 + -36 12x = -12 + -36 Combine like terms: -12 + -36 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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