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Simplifying 38 = 4x + -14 + 6x + 12 Reorder the terms: 38 = -14 + 12 + 4x + 6x Combine like terms: -14 + 12 = -2 38 = -2 + 4x + 6x Combine like terms: 4x + 6x = 10x 38 = -2 + 10x Solving 38 = -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. 38 + -10x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 38 + -10x = -2 + 0 38 + -10x = -2 Add '-38' to each side of the equation. 38 + -38 + -10x = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -10x = -2 + -38 -10x = -2 + -38 Combine like terms: -2 + -38 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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