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Simplifying 7(3x + -1) + -12 = 19x + 7 Reorder the terms: 7(-1 + 3x) + -12 = 19x + 7 (-1 * 7 + 3x * 7) + -12 = 19x + 7 (-7 + 21x) + -12 = 19x + 7 Reorder the terms: -7 + -12 + 21x = 19x + 7 Combine like terms: -7 + -12 = -19 -19 + 21x = 19x + 7 Reorder the terms: -19 + 21x = 7 + 19x Solving -19 + 21x = 7 + 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. -19 + 21x + -19x = 7 + 19x + -19x Combine like terms: 21x + -19x = 2x -19 + 2x = 7 + 19x + -19x Combine like terms: 19x + -19x = 0 -19 + 2x = 7 + 0 -19 + 2x = 7 Add '19' to each side of the equation. -19 + 19 + 2x = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 7 + 19 2x = 7 + 19 Combine like terms: 7 + 19 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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