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Simplifying 6(6x + -1) + -4(5x + -11) = 3(5x + 2) + -4 Reorder the terms: 6(-1 + 6x) + -4(5x + -11) = 3(5x + 2) + -4 (-1 * 6 + 6x * 6) + -4(5x + -11) = 3(5x + 2) + -4 (-6 + 36x) + -4(5x + -11) = 3(5x + 2) + -4 Reorder the terms: -6 + 36x + -4(-11 + 5x) = 3(5x + 2) + -4 -6 + 36x + (-11 * -4 + 5x * -4) = 3(5x + 2) + -4 -6 + 36x + (44 + -20x) = 3(5x + 2) + -4 Reorder the terms: -6 + 44 + 36x + -20x = 3(5x + 2) + -4 Combine like terms: -6 + 44 = 38 38 + 36x + -20x = 3(5x + 2) + -4 Combine like terms: 36x + -20x = 16x 38 + 16x = 3(5x + 2) + -4 Reorder the terms: 38 + 16x = 3(2 + 5x) + -4 38 + 16x = (2 * 3 + 5x * 3) + -4 38 + 16x = (6 + 15x) + -4 Reorder the terms: 38 + 16x = 6 + -4 + 15x Combine like terms: 6 + -4 = 2 38 + 16x = 2 + 15x Solving 38 + 16x = 2 + 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. 38 + 16x + -15x = 2 + 15x + -15x Combine like terms: 16x + -15x = 1x 38 + 1x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 38 + 1x = 2 + 0 38 + 1x = 2 Add '-38' to each side of the equation. 38 + -38 + 1x = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 2 + -38 1x = 2 + -38 Combine like terms: 2 + -38 = -36 1x = -36 Divide each side by '1'. x = -36 Simplifying x = -36
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