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Simplifying 7(3x + -1) + 6 = 2x + 18 Reorder the terms: 7(-1 + 3x) + 6 = 2x + 18 (-1 * 7 + 3x * 7) + 6 = 2x + 18 (-7 + 21x) + 6 = 2x + 18 Reorder the terms: -7 + 6 + 21x = 2x + 18 Combine like terms: -7 + 6 = -1 -1 + 21x = 2x + 18 Reorder the terms: -1 + 21x = 18 + 2x Solving -1 + 21x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 21x + -2x = 18 + 2x + -2x Combine like terms: 21x + -2x = 19x -1 + 19x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 19x = 18 + 0 -1 + 19x = 18 Add '1' to each side of the equation. -1 + 1 + 19x = 18 + 1 Combine like terms: -1 + 1 = 0 0 + 19x = 18 + 1 19x = 18 + 1 Combine like terms: 18 + 1 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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