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Simplifying -6x + 38 = 2(5x + 3) Reorder the terms: 38 + -6x = 2(5x + 3) Reorder the terms: 38 + -6x = 2(3 + 5x) 38 + -6x = (3 * 2 + 5x * 2) 38 + -6x = (6 + 10x) Solving 38 + -6x = 6 + 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 + -6x + -10x = 6 + 10x + -10x Combine like terms: -6x + -10x = -16x 38 + -16x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 38 + -16x = 6 + 0 38 + -16x = 6 Add '-38' to each side of the equation. 38 + -38 + -16x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -16x = 6 + -38 -16x = 6 + -38 Combine like terms: 6 + -38 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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