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Simplifying 6(6x + -1) + -4(5x + -18) = 5(3x + 2) + -4 Reorder the terms: 6(-1 + 6x) + -4(5x + -18) = 5(3x + 2) + -4 (-1 * 6 + 6x * 6) + -4(5x + -18) = 5(3x + 2) + -4 (-6 + 36x) + -4(5x + -18) = 5(3x + 2) + -4 Reorder the terms: -6 + 36x + -4(-18 + 5x) = 5(3x + 2) + -4 -6 + 36x + (-18 * -4 + 5x * -4) = 5(3x + 2) + -4 -6 + 36x + (72 + -20x) = 5(3x + 2) + -4 Reorder the terms: -6 + 72 + 36x + -20x = 5(3x + 2) + -4 Combine like terms: -6 + 72 = 66 66 + 36x + -20x = 5(3x + 2) + -4 Combine like terms: 36x + -20x = 16x 66 + 16x = 5(3x + 2) + -4 Reorder the terms: 66 + 16x = 5(2 + 3x) + -4 66 + 16x = (2 * 5 + 3x * 5) + -4 66 + 16x = (10 + 15x) + -4 Reorder the terms: 66 + 16x = 10 + -4 + 15x Combine like terms: 10 + -4 = 6 66 + 16x = 6 + 15x Solving 66 + 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. 66 + 16x + -15x = 6 + 15x + -15x Combine like terms: 16x + -15x = 1x 66 + 1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 66 + 1x = 6 + 0 66 + 1x = 6 Add '-66' to each side of the equation. 66 + -66 + 1x = 6 + -66 Combine like terms: 66 + -66 = 0 0 + 1x = 6 + -66 1x = 6 + -66 Combine like terms: 6 + -66 = -60 1x = -60 Divide each side by '1'. x = -60 Simplifying x = -60
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