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Simplifying 38 = 4(x + 8) + -7x Reorder the terms: 38 = 4(8 + x) + -7x 38 = (8 * 4 + x * 4) + -7x 38 = (32 + 4x) + -7x Combine like terms: 4x + -7x = -3x 38 = 32 + -3x Solving 38 = 32 + -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 = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + 3x = 32 + 0 38 + 3x = 32 Add '-38' to each side of the equation. 38 + -38 + 3x = 32 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 32 + -38 3x = 32 + -38 Combine like terms: 32 + -38 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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