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Simplifying 8(x + 4) + 6x = 100 + 58 Reorder the terms: 8(4 + x) + 6x = 100 + 58 (4 * 8 + x * 8) + 6x = 100 + 58 (32 + 8x) + 6x = 100 + 58 Combine like terms: 8x + 6x = 14x 32 + 14x = 100 + 58 Combine like terms: 100 + 58 = 158 32 + 14x = 158 Solving 32 + 14x = 158 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 14x = 158 + -32 Combine like terms: 32 + -32 = 0 0 + 14x = 158 + -32 14x = 158 + -32 Combine like terms: 158 + -32 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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