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Simplifying 6(6x + -5) + 4(10 + -5x) + -5(3x + 3) = -12 Reorder the terms: 6(-5 + 6x) + 4(10 + -5x) + -5(3x + 3) = -12 (-5 * 6 + 6x * 6) + 4(10 + -5x) + -5(3x + 3) = -12 (-30 + 36x) + 4(10 + -5x) + -5(3x + 3) = -12 -30 + 36x + (10 * 4 + -5x * 4) + -5(3x + 3) = -12 -30 + 36x + (40 + -20x) + -5(3x + 3) = -12 Reorder the terms: -30 + 36x + 40 + -20x + -5(3 + 3x) = -12 -30 + 36x + 40 + -20x + (3 * -5 + 3x * -5) = -12 -30 + 36x + 40 + -20x + (-15 + -15x) = -12 Reorder the terms: -30 + 40 + -15 + 36x + -20x + -15x = -12 Combine like terms: -30 + 40 = 10 10 + -15 + 36x + -20x + -15x = -12 Combine like terms: 10 + -15 = -5 -5 + 36x + -20x + -15x = -12 Combine like terms: 36x + -20x = 16x -5 + 16x + -15x = -12 Combine like terms: 16x + -15x = 1x -5 + 1x = -12 Solving -5 + 1x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -12 + 5 1x = -12 + 5 Combine like terms: -12 + 5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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