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Simplifying 4(2x + 6) = -14x + 2 Reorder the terms: 4(6 + 2x) = -14x + 2 (6 * 4 + 2x * 4) = -14x + 2 (24 + 8x) = -14x + 2 Reorder the terms: 24 + 8x = 2 + -14x Solving 24 + 8x = 2 + -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. 24 + 8x + 14x = 2 + -14x + 14x Combine like terms: 8x + 14x = 22x 24 + 22x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 24 + 22x = 2 + 0 24 + 22x = 2 Add '-24' to each side of the equation. 24 + -24 + 22x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 22x = 2 + -24 22x = 2 + -24 Combine like terms: 2 + -24 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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