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Simplifying 7(3x + -5) = 3(x + -6) + 19 Reorder the terms: 7(-5 + 3x) = 3(x + -6) + 19 (-5 * 7 + 3x * 7) = 3(x + -6) + 19 (-35 + 21x) = 3(x + -6) + 19 Reorder the terms: -35 + 21x = 3(-6 + x) + 19 -35 + 21x = (-6 * 3 + x * 3) + 19 -35 + 21x = (-18 + 3x) + 19 Reorder the terms: -35 + 21x = -18 + 19 + 3x Combine like terms: -18 + 19 = 1 -35 + 21x = 1 + 3x Solving -35 + 21x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 21x + -3x = 1 + 3x + -3x Combine like terms: 21x + -3x = 18x -35 + 18x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 18x = 1 + 0 -35 + 18x = 1 Add '35' to each side of the equation. -35 + 35 + 18x = 1 + 35 Combine like terms: -35 + 35 = 0 0 + 18x = 1 + 35 18x = 1 + 35 Combine like terms: 1 + 35 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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