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Simplifying 6(5x + -4) + 5(7 + -4x) + -3(3x + 1) = -2 Reorder the terms: 6(-4 + 5x) + 5(7 + -4x) + -3(3x + 1) = -2 (-4 * 6 + 5x * 6) + 5(7 + -4x) + -3(3x + 1) = -2 (-24 + 30x) + 5(7 + -4x) + -3(3x + 1) = -2 -24 + 30x + (7 * 5 + -4x * 5) + -3(3x + 1) = -2 -24 + 30x + (35 + -20x) + -3(3x + 1) = -2 Reorder the terms: -24 + 30x + 35 + -20x + -3(1 + 3x) = -2 -24 + 30x + 35 + -20x + (1 * -3 + 3x * -3) = -2 -24 + 30x + 35 + -20x + (-3 + -9x) = -2 Reorder the terms: -24 + 35 + -3 + 30x + -20x + -9x = -2 Combine like terms: -24 + 35 = 11 11 + -3 + 30x + -20x + -9x = -2 Combine like terms: 11 + -3 = 8 8 + 30x + -20x + -9x = -2 Combine like terms: 30x + -20x = 10x 8 + 10x + -9x = -2 Combine like terms: 10x + -9x = 1x 8 + 1x = -2 Solving 8 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -2 + -8 1x = -2 + -8 Combine like terms: -2 + -8 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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