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Simplifying 3(2x + -4) + -4(2 + -3x) = 29 Reorder the terms: 3(-4 + 2x) + -4(2 + -3x) = 29 (-4 * 3 + 2x * 3) + -4(2 + -3x) = 29 (-12 + 6x) + -4(2 + -3x) = 29 -12 + 6x + (2 * -4 + -3x * -4) = 29 -12 + 6x + (-8 + 12x) = 29 Reorder the terms: -12 + -8 + 6x + 12x = 29 Combine like terms: -12 + -8 = -20 -20 + 6x + 12x = 29 Combine like terms: 6x + 12x = 18x -20 + 18x = 29 Solving -20 + 18x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 18x = 29 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = 29 + 20 18x = 29 + 20 Combine like terms: 29 + 20 = 49 18x = 49 Divide each side by '18'. x = 2.722222222 Simplifying x = 2.722222222
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