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Simplifying 38 = 5(x + 7) + -8x Reorder the terms: 38 = 5(7 + x) + -8x 38 = (7 * 5 + x * 5) + -8x 38 = (35 + 5x) + -8x Combine like terms: 5x + -8x = -3x 38 = 35 + -3x Solving 38 = 35 + -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 + 3x = 35 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + 3x = 35 + 0 38 + 3x = 35 Add '-38' to each side of the equation. 38 + -38 + 3x = 35 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 35 + -38 3x = 35 + -38 Combine like terms: 35 + -38 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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