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Simplifying 3x + -4(5x + 2) + -6(3x + -4) = 1 Reorder the terms: 3x + -4(2 + 5x) + -6(3x + -4) = 1 3x + (2 * -4 + 5x * -4) + -6(3x + -4) = 1 3x + (-8 + -20x) + -6(3x + -4) = 1 Reorder the terms: 3x + -8 + -20x + -6(-4 + 3x) = 1 3x + -8 + -20x + (-4 * -6 + 3x * -6) = 1 3x + -8 + -20x + (24 + -18x) = 1 Reorder the terms: -8 + 24 + 3x + -20x + -18x = 1 Combine like terms: -8 + 24 = 16 16 + 3x + -20x + -18x = 1 Combine like terms: 3x + -20x = -17x 16 + -17x + -18x = 1 Combine like terms: -17x + -18x = -35x 16 + -35x = 1 Solving 16 + -35x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -35x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -35x = 1 + -16 -35x = 1 + -16 Combine like terms: 1 + -16 = -15 -35x = -15 Divide each side by '-35'. x = 0.4285714286 Simplifying x = 0.4285714286
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