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Simplifying 2(x + 3) = 2(7x + -6) Reorder the terms: 2(3 + x) = 2(7x + -6) (3 * 2 + x * 2) = 2(7x + -6) (6 + 2x) = 2(7x + -6) Reorder the terms: 6 + 2x = 2(-6 + 7x) 6 + 2x = (-6 * 2 + 7x * 2) 6 + 2x = (-12 + 14x) Solving 6 + 2x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + 2x + -14x = -12 + 14x + -14x Combine like terms: 2x + -14x = -12x 6 + -12x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -12x = -12 + 0 6 + -12x = -12 Add '-6' to each side of the equation. 6 + -6 + -12x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -12 + -6 -12x = -12 + -6 Combine like terms: -12 + -6 = -18 -12x = -18 Divide each side by '-12'. x = 1.5 Simplifying x = 1.5
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