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Simplifying 6(6x + -1) + 5(17 + -4x) = 5(3x + 4) + -9 Reorder the terms: 6(-1 + 6x) + 5(17 + -4x) = 5(3x + 4) + -9 (-1 * 6 + 6x * 6) + 5(17 + -4x) = 5(3x + 4) + -9 (-6 + 36x) + 5(17 + -4x) = 5(3x + 4) + -9 -6 + 36x + (17 * 5 + -4x * 5) = 5(3x + 4) + -9 -6 + 36x + (85 + -20x) = 5(3x + 4) + -9 Reorder the terms: -6 + 85 + 36x + -20x = 5(3x + 4) + -9 Combine like terms: -6 + 85 = 79 79 + 36x + -20x = 5(3x + 4) + -9 Combine like terms: 36x + -20x = 16x 79 + 16x = 5(3x + 4) + -9 Reorder the terms: 79 + 16x = 5(4 + 3x) + -9 79 + 16x = (4 * 5 + 3x * 5) + -9 79 + 16x = (20 + 15x) + -9 Reorder the terms: 79 + 16x = 20 + -9 + 15x Combine like terms: 20 + -9 = 11 79 + 16x = 11 + 15x Solving 79 + 16x = 11 + 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. 79 + 16x + -15x = 11 + 15x + -15x Combine like terms: 16x + -15x = 1x 79 + 1x = 11 + 15x + -15x Combine like terms: 15x + -15x = 0 79 + 1x = 11 + 0 79 + 1x = 11 Add '-79' to each side of the equation. 79 + -79 + 1x = 11 + -79 Combine like terms: 79 + -79 = 0 0 + 1x = 11 + -79 1x = 11 + -79 Combine like terms: 11 + -79 = -68 1x = -68 Divide each side by '1'. x = -68 Simplifying x = -68
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