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Simplifying 7(2x + 6) = 2(x + -15) Reorder the terms: 7(6 + 2x) = 2(x + -15) (6 * 7 + 2x * 7) = 2(x + -15) (42 + 14x) = 2(x + -15) Reorder the terms: 42 + 14x = 2(-15 + x) 42 + 14x = (-15 * 2 + x * 2) 42 + 14x = (-30 + 2x) Solving 42 + 14x = -30 + 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. 42 + 14x + -2x = -30 + 2x + -2x Combine like terms: 14x + -2x = 12x 42 + 12x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 12x = -30 + 0 42 + 12x = -30 Add '-42' to each side of the equation. 42 + -42 + 12x = -30 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = -30 + -42 12x = -30 + -42 Combine like terms: -30 + -42 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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