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Simplifying 5 + 14 + -2x = 9 + -1(4x + 2) Combine like terms: 5 + 14 = 19 19 + -2x = 9 + -1(4x + 2) Reorder the terms: 19 + -2x = 9 + -1(2 + 4x) 19 + -2x = 9 + (2 * -1 + 4x * -1) 19 + -2x = 9 + (-2 + -4x) Combine like terms: 9 + -2 = 7 19 + -2x = 7 + -4x Solving 19 + -2x = 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. 19 + -2x + 4x = 7 + -4x + 4x Combine like terms: -2x + 4x = 2x 19 + 2x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + 2x = 7 + 0 19 + 2x = 7 Add '-19' to each side of the equation. 19 + -19 + 2x = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 7 + -19 2x = 7 + -19 Combine like terms: 7 + -19 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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