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Simplifying 38 + 7x = 8(x + 4) Reorder the terms: 38 + 7x = 8(4 + x) 38 + 7x = (4 * 8 + x * 8) 38 + 7x = (32 + 8x) Solving 38 + 7x = 32 + 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 + 7x + -8x = 32 + 8x + -8x Combine like terms: 7x + -8x = -1x 38 + -1x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -1x = 32 + 0 38 + -1x = 32 Add '-38' to each side of the equation. 38 + -38 + -1x = 32 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 32 + -38 -1x = 32 + -38 Combine like terms: 32 + -38 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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