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Simplifying 6(6x + -4) + 4(18 + -5x) + -5(3x + 2) = -3 Reorder the terms: 6(-4 + 6x) + 4(18 + -5x) + -5(3x + 2) = -3 (-4 * 6 + 6x * 6) + 4(18 + -5x) + -5(3x + 2) = -3 (-24 + 36x) + 4(18 + -5x) + -5(3x + 2) = -3 -24 + 36x + (18 * 4 + -5x * 4) + -5(3x + 2) = -3 -24 + 36x + (72 + -20x) + -5(3x + 2) = -3 Reorder the terms: -24 + 36x + 72 + -20x + -5(2 + 3x) = -3 -24 + 36x + 72 + -20x + (2 * -5 + 3x * -5) = -3 -24 + 36x + 72 + -20x + (-10 + -15x) = -3 Reorder the terms: -24 + 72 + -10 + 36x + -20x + -15x = -3 Combine like terms: -24 + 72 = 48 48 + -10 + 36x + -20x + -15x = -3 Combine like terms: 48 + -10 = 38 38 + 36x + -20x + -15x = -3 Combine like terms: 36x + -20x = 16x 38 + 16x + -15x = -3 Combine like terms: 16x + -15x = 1x 38 + 1x = -3 Solving 38 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 1x = -3 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = -3 + -38 1x = -3 + -38 Combine like terms: -3 + -38 = -41 1x = -41 Divide each side by '1'. x = -41 Simplifying x = -41
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