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Simplifying 5x + 14 + -2 = 9 + -1(4x + 2) Reorder the terms: 14 + -2 + 5x = 9 + -1(4x + 2) Combine like terms: 14 + -2 = 12 12 + 5x = 9 + -1(4x + 2) Reorder the terms: 12 + 5x = 9 + -1(2 + 4x) 12 + 5x = 9 + (2 * -1 + 4x * -1) 12 + 5x = 9 + (-2 + -4x) Combine like terms: 9 + -2 = 7 12 + 5x = 7 + -4x Solving 12 + 5x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 5x + 4x = 7 + -4x + 4x Combine like terms: 5x + 4x = 9x 12 + 9x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 9x = 7 + 0 12 + 9x = 7 Add '-12' to each side of the equation. 12 + -12 + 9x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 7 + -12 9x = 7 + -12 Combine like terms: 7 + -12 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556
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