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Simplifying 12x + 8x + -62 = 9x + 4x + -20 Reorder the terms: -62 + 12x + 8x = 9x + 4x + -20 Combine like terms: 12x + 8x = 20x -62 + 20x = 9x + 4x + -20 Reorder the terms: -62 + 20x = -20 + 9x + 4x Combine like terms: 9x + 4x = 13x -62 + 20x = -20 + 13x Solving -62 + 20x = -20 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -62 + 20x + -13x = -20 + 13x + -13x Combine like terms: 20x + -13x = 7x -62 + 7x = -20 + 13x + -13x Combine like terms: 13x + -13x = 0 -62 + 7x = -20 + 0 -62 + 7x = -20 Add '62' to each side of the equation. -62 + 62 + 7x = -20 + 62 Combine like terms: -62 + 62 = 0 0 + 7x = -20 + 62 7x = -20 + 62 Combine like terms: -20 + 62 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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