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Simplifying 6(6x + -4) + 5(17 + -3x) + -5(4x + 5) = -14 Reorder the terms: 6(-4 + 6x) + 5(17 + -3x) + -5(4x + 5) = -14 (-4 * 6 + 6x * 6) + 5(17 + -3x) + -5(4x + 5) = -14 (-24 + 36x) + 5(17 + -3x) + -5(4x + 5) = -14 -24 + 36x + (17 * 5 + -3x * 5) + -5(4x + 5) = -14 -24 + 36x + (85 + -15x) + -5(4x + 5) = -14 Reorder the terms: -24 + 36x + 85 + -15x + -5(5 + 4x) = -14 -24 + 36x + 85 + -15x + (5 * -5 + 4x * -5) = -14 -24 + 36x + 85 + -15x + (-25 + -20x) = -14 Reorder the terms: -24 + 85 + -25 + 36x + -15x + -20x = -14 Combine like terms: -24 + 85 = 61 61 + -25 + 36x + -15x + -20x = -14 Combine like terms: 61 + -25 = 36 36 + 36x + -15x + -20x = -14 Combine like terms: 36x + -15x = 21x 36 + 21x + -20x = -14 Combine like terms: 21x + -20x = 1x 36 + 1x = -14 Solving 36 + 1x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1x = -14 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = -14 + -36 1x = -14 + -36 Combine like terms: -14 + -36 = -50 1x = -50 Divide each side by '1'. x = -50 Simplifying x = -50
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