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Simplifying 4x + 3 + 4x + -12 = 6x + 1 Reorder the terms: 3 + -12 + 4x + 4x = 6x + 1 Combine like terms: 3 + -12 = -9 -9 + 4x + 4x = 6x + 1 Combine like terms: 4x + 4x = 8x -9 + 8x = 6x + 1 Reorder the terms: -9 + 8x = 1 + 6x Solving -9 + 8x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 8x + -6x = 1 + 6x + -6x Combine like terms: 8x + -6x = 2x -9 + 2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 2x = 1 + 0 -9 + 2x = 1 Add '9' to each side of the equation. -9 + 9 + 2x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 1 + 9 2x = 1 + 9 Combine like terms: 1 + 9 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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