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Simplifying 6(5x + -3) + 5(6 + -4x) = 3(3x + 2) + -5 Reorder the terms: 6(-3 + 5x) + 5(6 + -4x) = 3(3x + 2) + -5 (-3 * 6 + 5x * 6) + 5(6 + -4x) = 3(3x + 2) + -5 (-18 + 30x) + 5(6 + -4x) = 3(3x + 2) + -5 -18 + 30x + (6 * 5 + -4x * 5) = 3(3x + 2) + -5 -18 + 30x + (30 + -20x) = 3(3x + 2) + -5 Reorder the terms: -18 + 30 + 30x + -20x = 3(3x + 2) + -5 Combine like terms: -18 + 30 = 12 12 + 30x + -20x = 3(3x + 2) + -5 Combine like terms: 30x + -20x = 10x 12 + 10x = 3(3x + 2) + -5 Reorder the terms: 12 + 10x = 3(2 + 3x) + -5 12 + 10x = (2 * 3 + 3x * 3) + -5 12 + 10x = (6 + 9x) + -5 Reorder the terms: 12 + 10x = 6 + -5 + 9x Combine like terms: 6 + -5 = 1 12 + 10x = 1 + 9x Solving 12 + 10x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x 12 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 1x = 1 + 0 12 + 1x = 1 Add '-12' to each side of the equation. 12 + -12 + 1x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 1 + -12 1x = 1 + -12 Combine like terms: 1 + -12 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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