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Simplifying 3(5x + 3) + 58 = 8x + 4 Reorder the terms: 3(3 + 5x) + 58 = 8x + 4 (3 * 3 + 5x * 3) + 58 = 8x + 4 (9 + 15x) + 58 = 8x + 4 Reorder the terms: 9 + 58 + 15x = 8x + 4 Combine like terms: 9 + 58 = 67 67 + 15x = 8x + 4 Reorder the terms: 67 + 15x = 4 + 8x Solving 67 + 15x = 4 + 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. 67 + 15x + -8x = 4 + 8x + -8x Combine like terms: 15x + -8x = 7x 67 + 7x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 67 + 7x = 4 + 0 67 + 7x = 4 Add '-67' to each side of the equation. 67 + -67 + 7x = 4 + -67 Combine like terms: 67 + -67 = 0 0 + 7x = 4 + -67 7x = 4 + -67 Combine like terms: 4 + -67 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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