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Simplifying 5(3x + 6) + 4(2x + 7) = 178 Reorder the terms: 5(6 + 3x) + 4(2x + 7) = 178 (6 * 5 + 3x * 5) + 4(2x + 7) = 178 (30 + 15x) + 4(2x + 7) = 178 Reorder the terms: 30 + 15x + 4(7 + 2x) = 178 30 + 15x + (7 * 4 + 2x * 4) = 178 30 + 15x + (28 + 8x) = 178 Reorder the terms: 30 + 28 + 15x + 8x = 178 Combine like terms: 30 + 28 = 58 58 + 15x + 8x = 178 Combine like terms: 15x + 8x = 23x 58 + 23x = 178 Solving 58 + 23x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 23x = 178 + -58 Combine like terms: 58 + -58 = 0 0 + 23x = 178 + -58 23x = 178 + -58 Combine like terms: 178 + -58 = 120 23x = 120 Divide each side by '23'. x = 5.217391304 Simplifying x = 5.217391304
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