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Simplifying 51x + 29 = 7(x + 5) + 2x + -6 Reorder the terms: 29 + 51x = 7(x + 5) + 2x + -6 Reorder the terms: 29 + 51x = 7(5 + x) + 2x + -6 29 + 51x = (5 * 7 + x * 7) + 2x + -6 29 + 51x = (35 + 7x) + 2x + -6 Reorder the terms: 29 + 51x = 35 + -6 + 7x + 2x Combine like terms: 35 + -6 = 29 29 + 51x = 29 + 7x + 2x Combine like terms: 7x + 2x = 9x 29 + 51x = 29 + 9x Add '-29' to each side of the equation. 29 + -29 + 51x = 29 + -29 + 9x Combine like terms: 29 + -29 = 0 0 + 51x = 29 + -29 + 9x 51x = 29 + -29 + 9x Combine like terms: 29 + -29 = 0 51x = 0 + 9x 51x = 9x Solving 51x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 51x + -9x = 9x + -9x Combine like terms: 51x + -9x = 42x 42x = 9x + -9x Combine like terms: 9x + -9x = 0 42x = 0 Divide each side by '42'. x = 0 Simplifying x = 0
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