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Simplifying 4(6x + -5) + 2(13 + -4x) = 3(5x + 2) + -5 Reorder the terms: 4(-5 + 6x) + 2(13 + -4x) = 3(5x + 2) + -5 (-5 * 4 + 6x * 4) + 2(13 + -4x) = 3(5x + 2) + -5 (-20 + 24x) + 2(13 + -4x) = 3(5x + 2) + -5 -20 + 24x + (13 * 2 + -4x * 2) = 3(5x + 2) + -5 -20 + 24x + (26 + -8x) = 3(5x + 2) + -5 Reorder the terms: -20 + 26 + 24x + -8x = 3(5x + 2) + -5 Combine like terms: -20 + 26 = 6 6 + 24x + -8x = 3(5x + 2) + -5 Combine like terms: 24x + -8x = 16x 6 + 16x = 3(5x + 2) + -5 Reorder the terms: 6 + 16x = 3(2 + 5x) + -5 6 + 16x = (2 * 3 + 5x * 3) + -5 6 + 16x = (6 + 15x) + -5 Reorder the terms: 6 + 16x = 6 + -5 + 15x Combine like terms: 6 + -5 = 1 6 + 16x = 1 + 15x Solving 6 + 16x = 1 + 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. 6 + 16x + -15x = 1 + 15x + -15x Combine like terms: 16x + -15x = 1x 6 + 1x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + 1x = 1 + 0 6 + 1x = 1 Add '-6' to each side of the equation. 6 + -6 + 1x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 1 + -6 1x = 1 + -6 Combine like terms: 1 + -6 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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