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Simplifying 2(3x + -7) + 4(3x + 2) = 5(5x + 9) + 3 Reorder the terms: 2(-7 + 3x) + 4(3x + 2) = 5(5x + 9) + 3 (-7 * 2 + 3x * 2) + 4(3x + 2) = 5(5x + 9) + 3 (-14 + 6x) + 4(3x + 2) = 5(5x + 9) + 3 Reorder the terms: -14 + 6x + 4(2 + 3x) = 5(5x + 9) + 3 -14 + 6x + (2 * 4 + 3x * 4) = 5(5x + 9) + 3 -14 + 6x + (8 + 12x) = 5(5x + 9) + 3 Reorder the terms: -14 + 8 + 6x + 12x = 5(5x + 9) + 3 Combine like terms: -14 + 8 = -6 -6 + 6x + 12x = 5(5x + 9) + 3 Combine like terms: 6x + 12x = 18x -6 + 18x = 5(5x + 9) + 3 Reorder the terms: -6 + 18x = 5(9 + 5x) + 3 -6 + 18x = (9 * 5 + 5x * 5) + 3 -6 + 18x = (45 + 25x) + 3 Reorder the terms: -6 + 18x = 45 + 3 + 25x Combine like terms: 45 + 3 = 48 -6 + 18x = 48 + 25x Solving -6 + 18x = 48 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -6 + 18x + -25x = 48 + 25x + -25x Combine like terms: 18x + -25x = -7x -6 + -7x = 48 + 25x + -25x Combine like terms: 25x + -25x = 0 -6 + -7x = 48 + 0 -6 + -7x = 48 Add '6' to each side of the equation. -6 + 6 + -7x = 48 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 48 + 6 -7x = 48 + 6 Combine like terms: 48 + 6 = 54 -7x = 54 Divide each side by '-7'. x = -7.714285714 Simplifying x = -7.714285714
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