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Simplifying 7x + 38 = 8(x + 2) + x Reorder the terms: 38 + 7x = 8(x + 2) + x Reorder the terms: 38 + 7x = 8(2 + x) + x 38 + 7x = (2 * 8 + x * 8) + x 38 + 7x = (16 + 8x) + x Combine like terms: 8x + x = 9x 38 + 7x = 16 + 9x Solving 38 + 7x = 16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 38 + 7x + -9x = 16 + 9x + -9x Combine like terms: 7x + -9x = -2x 38 + -2x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 38 + -2x = 16 + 0 38 + -2x = 16 Add '-38' to each side of the equation. 38 + -38 + -2x = 16 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 16 + -38 -2x = 16 + -38 Combine like terms: 16 + -38 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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