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Simplifying 6x + 38 = 2(x + 5) Reorder the terms: 38 + 6x = 2(x + 5) Reorder the terms: 38 + 6x = 2(5 + x) 38 + 6x = (5 * 2 + x * 2) 38 + 6x = (10 + 2x) Solving 38 + 6x = 10 + 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. 38 + 6x + -2x = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x 38 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + 4x = 10 + 0 38 + 4x = 10 Add '-38' to each side of the equation. 38 + -38 + 4x = 10 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 10 + -38 4x = 10 + -38 Combine like terms: 10 + -38 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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