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Simplifying 6(6x + -1) + 5(6 + -3x) + -4(5x + 1) = -2 Reorder the terms: 6(-1 + 6x) + 5(6 + -3x) + -4(5x + 1) = -2 (-1 * 6 + 6x * 6) + 5(6 + -3x) + -4(5x + 1) = -2 (-6 + 36x) + 5(6 + -3x) + -4(5x + 1) = -2 -6 + 36x + (6 * 5 + -3x * 5) + -4(5x + 1) = -2 -6 + 36x + (30 + -15x) + -4(5x + 1) = -2 Reorder the terms: -6 + 36x + 30 + -15x + -4(1 + 5x) = -2 -6 + 36x + 30 + -15x + (1 * -4 + 5x * -4) = -2 -6 + 36x + 30 + -15x + (-4 + -20x) = -2 Reorder the terms: -6 + 30 + -4 + 36x + -15x + -20x = -2 Combine like terms: -6 + 30 = 24 24 + -4 + 36x + -15x + -20x = -2 Combine like terms: 24 + -4 = 20 20 + 36x + -15x + -20x = -2 Combine like terms: 36x + -15x = 21x 20 + 21x + -20x = -2 Combine like terms: 21x + -20x = 1x 20 + 1x = -2 Solving 20 + 1x = -2 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 + 1x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -2 + -20 1x = -2 + -20 Combine like terms: -2 + -20 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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