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Simplifying 2(2x + 14) = 2(5x + -1) Reorder the terms: 2(14 + 2x) = 2(5x + -1) (14 * 2 + 2x * 2) = 2(5x + -1) (28 + 4x) = 2(5x + -1) Reorder the terms: 28 + 4x = 2(-1 + 5x) 28 + 4x = (-1 * 2 + 5x * 2) 28 + 4x = (-2 + 10x) Solving 28 + 4x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 28 + 4x + -10x = -2 + 10x + -10x Combine like terms: 4x + -10x = -6x 28 + -6x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + -6x = -2 + 0 28 + -6x = -2 Add '-28' to each side of the equation. 28 + -28 + -6x = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -6x = -2 + -28 -6x = -2 + -28 Combine like terms: -2 + -28 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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