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Simplifying 2(x + 4) + -6 = 6(x + 2) Reorder the terms: 2(4 + x) + -6 = 6(x + 2) (4 * 2 + x * 2) + -6 = 6(x + 2) (8 + 2x) + -6 = 6(x + 2) Reorder the terms: 8 + -6 + 2x = 6(x + 2) Combine like terms: 8 + -6 = 2 2 + 2x = 6(x + 2) Reorder the terms: 2 + 2x = 6(2 + x) 2 + 2x = (2 * 6 + x * 6) 2 + 2x = (12 + 6x) Solving 2 + 2x = 12 + 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. 2 + 2x + -6x = 12 + 6x + -6x Combine like terms: 2x + -6x = -4x 2 + -4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -4x = 12 + 0 2 + -4x = 12 Add '-2' to each side of the equation. 2 + -2 + -4x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 12 + -2 -4x = 12 + -2 Combine like terms: 12 + -2 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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