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Simplifying 6(2x + 3) + 5(3x + -4) = 5(4x + 3) + 18 Reorder the terms: 6(3 + 2x) + 5(3x + -4) = 5(4x + 3) + 18 (3 * 6 + 2x * 6) + 5(3x + -4) = 5(4x + 3) + 18 (18 + 12x) + 5(3x + -4) = 5(4x + 3) + 18 Reorder the terms: 18 + 12x + 5(-4 + 3x) = 5(4x + 3) + 18 18 + 12x + (-4 * 5 + 3x * 5) = 5(4x + 3) + 18 18 + 12x + (-20 + 15x) = 5(4x + 3) + 18 Reorder the terms: 18 + -20 + 12x + 15x = 5(4x + 3) + 18 Combine like terms: 18 + -20 = -2 -2 + 12x + 15x = 5(4x + 3) + 18 Combine like terms: 12x + 15x = 27x -2 + 27x = 5(4x + 3) + 18 Reorder the terms: -2 + 27x = 5(3 + 4x) + 18 -2 + 27x = (3 * 5 + 4x * 5) + 18 -2 + 27x = (15 + 20x) + 18 Reorder the terms: -2 + 27x = 15 + 18 + 20x Combine like terms: 15 + 18 = 33 -2 + 27x = 33 + 20x Solving -2 + 27x = 33 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -2 + 27x + -20x = 33 + 20x + -20x Combine like terms: 27x + -20x = 7x -2 + 7x = 33 + 20x + -20x Combine like terms: 20x + -20x = 0 -2 + 7x = 33 + 0 -2 + 7x = 33 Add '2' to each side of the equation. -2 + 2 + 7x = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 33 + 2 7x = 33 + 2 Combine like terms: 33 + 2 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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