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Simplifying 7x + 2 = 6(2x + -3) Reorder the terms: 2 + 7x = 6(2x + -3) Reorder the terms: 2 + 7x = 6(-3 + 2x) 2 + 7x = (-3 * 6 + 2x * 6) 2 + 7x = (-18 + 12x) Solving 2 + 7x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 7x + -12x = -18 + 12x + -12x Combine like terms: 7x + -12x = -5x 2 + -5x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -5x = -18 + 0 2 + -5x = -18 Add '-2' to each side of the equation. 2 + -2 + -5x = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -18 + -2 -5x = -18 + -2 Combine like terms: -18 + -2 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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