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Simplifying 9 + 4(5x + -3) = 3(7x + -2) Reorder the terms: 9 + 4(-3 + 5x) = 3(7x + -2) 9 + (-3 * 4 + 5x * 4) = 3(7x + -2) 9 + (-12 + 20x) = 3(7x + -2) Combine like terms: 9 + -12 = -3 -3 + 20x = 3(7x + -2) Reorder the terms: -3 + 20x = 3(-2 + 7x) -3 + 20x = (-2 * 3 + 7x * 3) -3 + 20x = (-6 + 21x) Solving -3 + 20x = -6 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -3 + 20x + -21x = -6 + 21x + -21x Combine like terms: 20x + -21x = -1x -3 + -1x = -6 + 21x + -21x Combine like terms: 21x + -21x = 0 -3 + -1x = -6 + 0 -3 + -1x = -6 Add '3' to each side of the equation. -3 + 3 + -1x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -6 + 3 -1x = -6 + 3 Combine like terms: -6 + 3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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