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Simplifying 6x + 15x + -12 = 19x + 2 Reorder the terms: -12 + 6x + 15x = 19x + 2 Combine like terms: 6x + 15x = 21x -12 + 21x = 19x + 2 Reorder the terms: -12 + 21x = 2 + 19x Solving -12 + 21x = 2 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -12 + 21x + -19x = 2 + 19x + -19x Combine like terms: 21x + -19x = 2x -12 + 2x = 2 + 19x + -19x Combine like terms: 19x + -19x = 0 -12 + 2x = 2 + 0 -12 + 2x = 2 Add '12' to each side of the equation. -12 + 12 + 2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 2 + 12 2x = 2 + 12 Combine like terms: 2 + 12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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