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Simplifying 5x + 38 = 4(2x + 2) Reorder the terms: 38 + 5x = 4(2x + 2) Reorder the terms: 38 + 5x = 4(2 + 2x) 38 + 5x = (2 * 4 + 2x * 4) 38 + 5x = (8 + 8x) Solving 38 + 5x = 8 + 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 + 5x + -8x = 8 + 8x + -8x Combine like terms: 5x + -8x = -3x 38 + -3x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -3x = 8 + 0 38 + -3x = 8 Add '-38' to each side of the equation. 38 + -38 + -3x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 8 + -38 -3x = 8 + -38 Combine like terms: 8 + -38 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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