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Simplifying 6x + 9(6x + 4) = 2x + 7 Reorder the terms: 6x + 9(4 + 6x) = 2x + 7 6x + (4 * 9 + 6x * 9) = 2x + 7 6x + (36 + 54x) = 2x + 7 Reorder the terms: 36 + 6x + 54x = 2x + 7 Combine like terms: 6x + 54x = 60x 36 + 60x = 2x + 7 Reorder the terms: 36 + 60x = 7 + 2x Solving 36 + 60x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + 60x + -2x = 7 + 2x + -2x Combine like terms: 60x + -2x = 58x 36 + 58x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 58x = 7 + 0 36 + 58x = 7 Add '-36' to each side of the equation. 36 + -36 + 58x = 7 + -36 Combine like terms: 36 + -36 = 0 0 + 58x = 7 + -36 58x = 7 + -36 Combine like terms: 7 + -36 = -29 58x = -29 Divide each side by '58'. x = -0.5 Simplifying x = -0.5
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