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Simplifying 4(3x + 2) + 2(5x + -6) = 5(3x + 4) Reorder the terms: 4(2 + 3x) + 2(5x + -6) = 5(3x + 4) (2 * 4 + 3x * 4) + 2(5x + -6) = 5(3x + 4) (8 + 12x) + 2(5x + -6) = 5(3x + 4) Reorder the terms: 8 + 12x + 2(-6 + 5x) = 5(3x + 4) 8 + 12x + (-6 * 2 + 5x * 2) = 5(3x + 4) 8 + 12x + (-12 + 10x) = 5(3x + 4) Reorder the terms: 8 + -12 + 12x + 10x = 5(3x + 4) Combine like terms: 8 + -12 = -4 -4 + 12x + 10x = 5(3x + 4) Combine like terms: 12x + 10x = 22x -4 + 22x = 5(3x + 4) Reorder the terms: -4 + 22x = 5(4 + 3x) -4 + 22x = (4 * 5 + 3x * 5) -4 + 22x = (20 + 15x) Solving -4 + 22x = 20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + 22x + -15x = 20 + 15x + -15x Combine like terms: 22x + -15x = 7x -4 + 7x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + 7x = 20 + 0 -4 + 7x = 20 Add '4' to each side of the equation. -4 + 4 + 7x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 20 + 4 7x = 20 + 4 Combine like terms: 20 + 4 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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