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Simplifying 6(6x + -4) + 5(10 + -4x) = 3(5x + 3) + -7 Reorder the terms: 6(-4 + 6x) + 5(10 + -4x) = 3(5x + 3) + -7 (-4 * 6 + 6x * 6) + 5(10 + -4x) = 3(5x + 3) + -7 (-24 + 36x) + 5(10 + -4x) = 3(5x + 3) + -7 -24 + 36x + (10 * 5 + -4x * 5) = 3(5x + 3) + -7 -24 + 36x + (50 + -20x) = 3(5x + 3) + -7 Reorder the terms: -24 + 50 + 36x + -20x = 3(5x + 3) + -7 Combine like terms: -24 + 50 = 26 26 + 36x + -20x = 3(5x + 3) + -7 Combine like terms: 36x + -20x = 16x 26 + 16x = 3(5x + 3) + -7 Reorder the terms: 26 + 16x = 3(3 + 5x) + -7 26 + 16x = (3 * 3 + 5x * 3) + -7 26 + 16x = (9 + 15x) + -7 Reorder the terms: 26 + 16x = 9 + -7 + 15x Combine like terms: 9 + -7 = 2 26 + 16x = 2 + 15x Solving 26 + 16x = 2 + 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. 26 + 16x + -15x = 2 + 15x + -15x Combine like terms: 16x + -15x = 1x 26 + 1x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 26 + 1x = 2 + 0 26 + 1x = 2 Add '-26' to each side of the equation. 26 + -26 + 1x = 2 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = 2 + -26 1x = 2 + -26 Combine like terms: 2 + -26 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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