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Simplifying 3(4x + -5) + -7(x + 2) = 3x + 9 Reorder the terms: 3(-5 + 4x) + -7(x + 2) = 3x + 9 (-5 * 3 + 4x * 3) + -7(x + 2) = 3x + 9 (-15 + 12x) + -7(x + 2) = 3x + 9 Reorder the terms: -15 + 12x + -7(2 + x) = 3x + 9 -15 + 12x + (2 * -7 + x * -7) = 3x + 9 -15 + 12x + (-14 + -7x) = 3x + 9 Reorder the terms: -15 + -14 + 12x + -7x = 3x + 9 Combine like terms: -15 + -14 = -29 -29 + 12x + -7x = 3x + 9 Combine like terms: 12x + -7x = 5x -29 + 5x = 3x + 9 Reorder the terms: -29 + 5x = 9 + 3x Solving -29 + 5x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -29 + 5x + -3x = 9 + 3x + -3x Combine like terms: 5x + -3x = 2x -29 + 2x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 2x = 9 + 0 -29 + 2x = 9 Add '29' to each side of the equation. -29 + 29 + 2x = 9 + 29 Combine like terms: -29 + 29 = 0 0 + 2x = 9 + 29 2x = 9 + 29 Combine like terms: 9 + 29 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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