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Simplifying 5(4x + 3) = 4(7x + -3) + 3(9 + -2x) Reorder the terms: 5(3 + 4x) = 4(7x + -3) + 3(9 + -2x) (3 * 5 + 4x * 5) = 4(7x + -3) + 3(9 + -2x) (15 + 20x) = 4(7x + -3) + 3(9 + -2x) Reorder the terms: 15 + 20x = 4(-3 + 7x) + 3(9 + -2x) 15 + 20x = (-3 * 4 + 7x * 4) + 3(9 + -2x) 15 + 20x = (-12 + 28x) + 3(9 + -2x) 15 + 20x = -12 + 28x + (9 * 3 + -2x * 3) 15 + 20x = -12 + 28x + (27 + -6x) Reorder the terms: 15 + 20x = -12 + 27 + 28x + -6x Combine like terms: -12 + 27 = 15 15 + 20x = 15 + 28x + -6x Combine like terms: 28x + -6x = 22x 15 + 20x = 15 + 22x Add '-15' to each side of the equation. 15 + -15 + 20x = 15 + -15 + 22x Combine like terms: 15 + -15 = 0 0 + 20x = 15 + -15 + 22x 20x = 15 + -15 + 22x Combine like terms: 15 + -15 = 0 20x = 0 + 22x 20x = 22x Solving 20x = 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 20x + -22x = 22x + -22x Combine like terms: 20x + -22x = -2x -2x = 22x + -22x Combine like terms: 22x + -22x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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