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Simplifying 38 = 4x + 2(-5x + -14) Reorder the terms: 38 = 4x + 2(-14 + -5x) 38 = 4x + (-14 * 2 + -5x * 2) 38 = 4x + (-28 + -10x) Reorder the terms: 38 = -28 + 4x + -10x Combine like terms: 4x + -10x = -6x 38 = -28 + -6x Solving 38 = -28 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 38 + 6x = -28 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 6x = -28 + 0 38 + 6x = -28 Add '-38' to each side of the equation. 38 + -38 + 6x = -28 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = -28 + -38 6x = -28 + -38 Combine like terms: -28 + -38 = -66 6x = -66 Divide each side by '6'. x = -11 Simplifying x = -11
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