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Simplifying 6(6x + -1) + 4(7 + -5x) + -3(5x + 4) = -2 Reorder the terms: 6(-1 + 6x) + 4(7 + -5x) + -3(5x + 4) = -2 (-1 * 6 + 6x * 6) + 4(7 + -5x) + -3(5x + 4) = -2 (-6 + 36x) + 4(7 + -5x) + -3(5x + 4) = -2 -6 + 36x + (7 * 4 + -5x * 4) + -3(5x + 4) = -2 -6 + 36x + (28 + -20x) + -3(5x + 4) = -2 Reorder the terms: -6 + 36x + 28 + -20x + -3(4 + 5x) = -2 -6 + 36x + 28 + -20x + (4 * -3 + 5x * -3) = -2 -6 + 36x + 28 + -20x + (-12 + -15x) = -2 Reorder the terms: -6 + 28 + -12 + 36x + -20x + -15x = -2 Combine like terms: -6 + 28 = 22 22 + -12 + 36x + -20x + -15x = -2 Combine like terms: 22 + -12 = 10 10 + 36x + -20x + -15x = -2 Combine like terms: 36x + -20x = 16x 10 + 16x + -15x = -2 Combine like terms: 16x + -15x = 1x 10 + 1x = -2 Solving 10 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -2 + -10 1x = -2 + -10 Combine like terms: -2 + -10 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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