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Simplifying 6(6x + -1) + -5(4x + -15) = 3(5x + 2) Reorder the terms: 6(-1 + 6x) + -5(4x + -15) = 3(5x + 2) (-1 * 6 + 6x * 6) + -5(4x + -15) = 3(5x + 2) (-6 + 36x) + -5(4x + -15) = 3(5x + 2) Reorder the terms: -6 + 36x + -5(-15 + 4x) = 3(5x + 2) -6 + 36x + (-15 * -5 + 4x * -5) = 3(5x + 2) -6 + 36x + (75 + -20x) = 3(5x + 2) Reorder the terms: -6 + 75 + 36x + -20x = 3(5x + 2) Combine like terms: -6 + 75 = 69 69 + 36x + -20x = 3(5x + 2) Combine like terms: 36x + -20x = 16x 69 + 16x = 3(5x + 2) Reorder the terms: 69 + 16x = 3(2 + 5x) 69 + 16x = (2 * 3 + 5x * 3) 69 + 16x = (6 + 15x) Solving 69 + 16x = 6 + 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. 69 + 16x + -15x = 6 + 15x + -15x Combine like terms: 16x + -15x = 1x 69 + 1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 69 + 1x = 6 + 0 69 + 1x = 6 Add '-69' to each side of the equation. 69 + -69 + 1x = 6 + -69 Combine like terms: 69 + -69 = 0 0 + 1x = 6 + -69 1x = 6 + -69 Combine like terms: 6 + -69 = -63 1x = -63 Divide each side by '1'. x = -63 Simplifying x = -63
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