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Simplifying 5x + 14 = 6 + 2(x + -2) Reorder the terms: 14 + 5x = 6 + 2(x + -2) Reorder the terms: 14 + 5x = 6 + 2(-2 + x) 14 + 5x = 6 + (-2 * 2 + x * 2) 14 + 5x = 6 + (-4 + 2x) Combine like terms: 6 + -4 = 2 14 + 5x = 2 + 2x Solving 14 + 5x = 2 + 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. 14 + 5x + -2x = 2 + 2x + -2x Combine like terms: 5x + -2x = 3x 14 + 3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 3x = 2 + 0 14 + 3x = 2 Add '-14' to each side of the equation. 14 + -14 + 3x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 2 + -14 3x = 2 + -14 Combine like terms: 2 + -14 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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