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Simplifying 2(2x + -7) + 4(3x + 2) = 5(5x + 9) + 5 Reorder the terms: 2(-7 + 2x) + 4(3x + 2) = 5(5x + 9) + 5 (-7 * 2 + 2x * 2) + 4(3x + 2) = 5(5x + 9) + 5 (-14 + 4x) + 4(3x + 2) = 5(5x + 9) + 5 Reorder the terms: -14 + 4x + 4(2 + 3x) = 5(5x + 9) + 5 -14 + 4x + (2 * 4 + 3x * 4) = 5(5x + 9) + 5 -14 + 4x + (8 + 12x) = 5(5x + 9) + 5 Reorder the terms: -14 + 8 + 4x + 12x = 5(5x + 9) + 5 Combine like terms: -14 + 8 = -6 -6 + 4x + 12x = 5(5x + 9) + 5 Combine like terms: 4x + 12x = 16x -6 + 16x = 5(5x + 9) + 5 Reorder the terms: -6 + 16x = 5(9 + 5x) + 5 -6 + 16x = (9 * 5 + 5x * 5) + 5 -6 + 16x = (45 + 25x) + 5 Reorder the terms: -6 + 16x = 45 + 5 + 25x Combine like terms: 45 + 5 = 50 -6 + 16x = 50 + 25x Solving -6 + 16x = 50 + 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 + 16x + -25x = 50 + 25x + -25x Combine like terms: 16x + -25x = -9x -6 + -9x = 50 + 25x + -25x Combine like terms: 25x + -25x = 0 -6 + -9x = 50 + 0 -6 + -9x = 50 Add '6' to each side of the equation. -6 + 6 + -9x = 50 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 50 + 6 -9x = 50 + 6 Combine like terms: 50 + 6 = 56 -9x = 56 Divide each side by '-9'. x = -6.222222222 Simplifying x = -6.222222222
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