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Simplifying 4(6x + 2) + 3(9x + -9) = 29 Reorder the terms: 4(2 + 6x) + 3(9x + -9) = 29 (2 * 4 + 6x * 4) + 3(9x + -9) = 29 (8 + 24x) + 3(9x + -9) = 29 Reorder the terms: 8 + 24x + 3(-9 + 9x) = 29 8 + 24x + (-9 * 3 + 9x * 3) = 29 8 + 24x + (-27 + 27x) = 29 Reorder the terms: 8 + -27 + 24x + 27x = 29 Combine like terms: 8 + -27 = -19 -19 + 24x + 27x = 29 Combine like terms: 24x + 27x = 51x -19 + 51x = 29 Solving -19 + 51x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 51x = 29 + 19 Combine like terms: -19 + 19 = 0 0 + 51x = 29 + 19 51x = 29 + 19 Combine like terms: 29 + 19 = 48 51x = 48 Divide each side by '51'. x = 0.9411764706 Simplifying x = 0.9411764706
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