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Simplifying 6x + 7 + -19 = 7x + 13 + -3x + -21 Reorder the terms: 7 + -19 + 6x = 7x + 13 + -3x + -21 Combine like terms: 7 + -19 = -12 -12 + 6x = 7x + 13 + -3x + -21 Reorder the terms: -12 + 6x = 13 + -21 + 7x + -3x Combine like terms: 13 + -21 = -8 -12 + 6x = -8 + 7x + -3x Combine like terms: 7x + -3x = 4x -12 + 6x = -8 + 4x Solving -12 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = -8 + 0 -12 + 2x = -8 Add '12' to each side of the equation. -12 + 12 + 2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -8 + 12 2x = -8 + 12 Combine like terms: -8 + 12 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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