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Simplifying -38 + 8x = 2(8x + 1) + 8 Reorder the terms: -38 + 8x = 2(1 + 8x) + 8 -38 + 8x = (1 * 2 + 8x * 2) + 8 -38 + 8x = (2 + 16x) + 8 Reorder the terms: -38 + 8x = 2 + 8 + 16x Combine like terms: 2 + 8 = 10 -38 + 8x = 10 + 16x Solving -38 + 8x = 10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -38 + 8x + -16x = 10 + 16x + -16x Combine like terms: 8x + -16x = -8x -38 + -8x = 10 + 16x + -16x Combine like terms: 16x + -16x = 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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