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Simplifying 4(3x + 7) + 3(2x + -1) + -5(4x + -3) = 0 Reorder the terms: 4(7 + 3x) + 3(2x + -1) + -5(4x + -3) = 0 (7 * 4 + 3x * 4) + 3(2x + -1) + -5(4x + -3) = 0 (28 + 12x) + 3(2x + -1) + -5(4x + -3) = 0 Reorder the terms: 28 + 12x + 3(-1 + 2x) + -5(4x + -3) = 0 28 + 12x + (-1 * 3 + 2x * 3) + -5(4x + -3) = 0 28 + 12x + (-3 + 6x) + -5(4x + -3) = 0 Reorder the terms: 28 + 12x + -3 + 6x + -5(-3 + 4x) = 0 28 + 12x + -3 + 6x + (-3 * -5 + 4x * -5) = 0 28 + 12x + -3 + 6x + (15 + -20x) = 0 Reorder the terms: 28 + -3 + 15 + 12x + 6x + -20x = 0 Combine like terms: 28 + -3 = 25 25 + 15 + 12x + 6x + -20x = 0 Combine like terms: 25 + 15 = 40 40 + 12x + 6x + -20x = 0 Combine like terms: 12x + 6x = 18x 40 + 18x + -20x = 0 Combine like terms: 18x + -20x = -2x 40 + -2x = 0 Solving 40 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -2x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 0 + -40 -2x = 0 + -40 Combine like terms: 0 + -40 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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