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Simplifying 6(6x + -1) + -4(5x + -9) = 15x + 5 Reorder the terms: 6(-1 + 6x) + -4(5x + -9) = 15x + 5 (-1 * 6 + 6x * 6) + -4(5x + -9) = 15x + 5 (-6 + 36x) + -4(5x + -9) = 15x + 5 Reorder the terms: -6 + 36x + -4(-9 + 5x) = 15x + 5 -6 + 36x + (-9 * -4 + 5x * -4) = 15x + 5 -6 + 36x + (36 + -20x) = 15x + 5 Reorder the terms: -6 + 36 + 36x + -20x = 15x + 5 Combine like terms: -6 + 36 = 30 30 + 36x + -20x = 15x + 5 Combine like terms: 36x + -20x = 16x 30 + 16x = 15x + 5 Reorder the terms: 30 + 16x = 5 + 15x Solving 30 + 16x = 5 + 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. 30 + 16x + -15x = 5 + 15x + -15x Combine like terms: 16x + -15x = 1x 30 + 1x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + 1x = 5 + 0 30 + 1x = 5 Add '-30' to each side of the equation. 30 + -30 + 1x = 5 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 5 + -30 1x = 5 + -30 Combine like terms: 5 + -30 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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