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Simplifying 3(X + -2) + 4(5X + -3) = 3(X + 3) + -7 Reorder the terms: 3(-2 + X) + 4(5X + -3) = 3(X + 3) + -7 (-2 * 3 + X * 3) + 4(5X + -3) = 3(X + 3) + -7 (-6 + 3X) + 4(5X + -3) = 3(X + 3) + -7 Reorder the terms: -6 + 3X + 4(-3 + 5X) = 3(X + 3) + -7 -6 + 3X + (-3 * 4 + 5X * 4) = 3(X + 3) + -7 -6 + 3X + (-12 + 20X) = 3(X + 3) + -7 Reorder the terms: -6 + -12 + 3X + 20X = 3(X + 3) + -7 Combine like terms: -6 + -12 = -18 -18 + 3X + 20X = 3(X + 3) + -7 Combine like terms: 3X + 20X = 23X -18 + 23X = 3(X + 3) + -7 Reorder the terms: -18 + 23X = 3(3 + X) + -7 -18 + 23X = (3 * 3 + X * 3) + -7 -18 + 23X = (9 + 3X) + -7 Reorder the terms: -18 + 23X = 9 + -7 + 3X Combine like terms: 9 + -7 = 2 -18 + 23X = 2 + 3X Solving -18 + 23X = 2 + 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. -18 + 23X + -3X = 2 + 3X + -3X Combine like terms: 23X + -3X = 20X -18 + 20X = 2 + 3X + -3X Combine like terms: 3X + -3X = 0 -18 + 20X = 2 + 0 -18 + 20X = 2 Add '18' to each side of the equation. -18 + 18 + 20X = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 20X = 2 + 18 20X = 2 + 18 Combine like terms: 2 + 18 = 20 20X = 20 Divide each side by '20'. X = 1 Simplifying X = 1
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