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Simplifying -38 = 6x + 2(x + 5) Reorder the terms: -38 = 6x + 2(5 + x) -38 = 6x + (5 * 2 + x * 2) -38 = 6x + (10 + 2x) Reorder the terms: -38 = 10 + 6x + 2x Combine like terms: 6x + 2x = 8x -38 = 10 + 8x Solving -38 = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -38 + -8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -38 + -8x = 10 + 0 -38 + -8x = 10 Add '38' to each side of the equation. -38 + 38 + -8x = 10 + 38 Combine like terms: -38 + 38 = 0 0 + -8x = 10 + 38 -8x = 10 + 38 Combine like terms: 10 + 38 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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