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Simplifying 6(6x + -5) + 5(11 + -4x) = 5(3x + 2) + -6 Reorder the terms: 6(-5 + 6x) + 5(11 + -4x) = 5(3x + 2) + -6 (-5 * 6 + 6x * 6) + 5(11 + -4x) = 5(3x + 2) + -6 (-30 + 36x) + 5(11 + -4x) = 5(3x + 2) + -6 -30 + 36x + (11 * 5 + -4x * 5) = 5(3x + 2) + -6 -30 + 36x + (55 + -20x) = 5(3x + 2) + -6 Reorder the terms: -30 + 55 + 36x + -20x = 5(3x + 2) + -6 Combine like terms: -30 + 55 = 25 25 + 36x + -20x = 5(3x + 2) + -6 Combine like terms: 36x + -20x = 16x 25 + 16x = 5(3x + 2) + -6 Reorder the terms: 25 + 16x = 5(2 + 3x) + -6 25 + 16x = (2 * 5 + 3x * 5) + -6 25 + 16x = (10 + 15x) + -6 Reorder the terms: 25 + 16x = 10 + -6 + 15x Combine like terms: 10 + -6 = 4 25 + 16x = 4 + 15x Solving 25 + 16x = 4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 25 + 16x + -15x = 4 + 15x + -15x Combine like terms: 16x + -15x = 1x 25 + 1x = 4 + 15x + -15x Combine like terms: 15x + -15x = 0 25 + 1x = 4 + 0 25 + 1x = 4 Add '-25' to each side of the equation. 25 + -25 + 1x = 4 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 4 + -25 1x = 4 + -25 Combine like terms: 4 + -25 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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