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Simplifying 7(2x + -3) = 9(x + 3) + 4 Reorder the terms: 7(-3 + 2x) = 9(x + 3) + 4 (-3 * 7 + 2x * 7) = 9(x + 3) + 4 (-21 + 14x) = 9(x + 3) + 4 Reorder the terms: -21 + 14x = 9(3 + x) + 4 -21 + 14x = (3 * 9 + x * 9) + 4 -21 + 14x = (27 + 9x) + 4 Reorder the terms: -21 + 14x = 27 + 4 + 9x Combine like terms: 27 + 4 = 31 -21 + 14x = 31 + 9x Solving -21 + 14x = 31 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -21 + 14x + -9x = 31 + 9x + -9x Combine like terms: 14x + -9x = 5x -21 + 5x = 31 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + 5x = 31 + 0 -21 + 5x = 31 Add '21' to each side of the equation. -21 + 21 + 5x = 31 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 31 + 21 5x = 31 + 21 Combine like terms: 31 + 21 = 52 5x = 52 Divide each side by '5'. x = 10.4 Simplifying x = 10.4
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