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Simplifying 8x + 38 = 3(x + 1) Reorder the terms: 38 + 8x = 3(x + 1) Reorder the terms: 38 + 8x = 3(1 + x) 38 + 8x = (1 * 3 + x * 3) 38 + 8x = (3 + 3x) Solving 38 + 8x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + 8x + -3x = 3 + 3x + -3x Combine like terms: 8x + -3x = 5x 38 + 5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + 5x = 3 + 0 38 + 5x = 3 Add '-38' to each side of the equation. 38 + -38 + 5x = 3 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = 3 + -38 5x = 3 + -38 Combine like terms: 3 + -38 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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