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Simplifying 6(2x + 3) + -20 = 3(3x + -5) + -1x Reorder the terms: 6(3 + 2x) + -20 = 3(3x + -5) + -1x (3 * 6 + 2x * 6) + -20 = 3(3x + -5) + -1x (18 + 12x) + -20 = 3(3x + -5) + -1x Reorder the terms: 18 + -20 + 12x = 3(3x + -5) + -1x Combine like terms: 18 + -20 = -2 -2 + 12x = 3(3x + -5) + -1x Reorder the terms: -2 + 12x = 3(-5 + 3x) + -1x -2 + 12x = (-5 * 3 + 3x * 3) + -1x -2 + 12x = (-15 + 9x) + -1x Combine like terms: 9x + -1x = 8x -2 + 12x = -15 + 8x Solving -2 + 12x = -15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 12x + -8x = -15 + 8x + -8x Combine like terms: 12x + -8x = 4x -2 + 4x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 4x = -15 + 0 -2 + 4x = -15 Add '2' to each side of the equation. -2 + 2 + 4x = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -15 + 2 4x = -15 + 2 Combine like terms: -15 + 2 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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