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Simplifying 3x + -1(4x + 7) = 9 + -3(2x + -3) Reorder the terms: 3x + -1(7 + 4x) = 9 + -3(2x + -3) 3x + (7 * -1 + 4x * -1) = 9 + -3(2x + -3) 3x + (-7 + -4x) = 9 + -3(2x + -3) Reorder the terms: -7 + 3x + -4x = 9 + -3(2x + -3) Combine like terms: 3x + -4x = -1x -7 + -1x = 9 + -3(2x + -3) Reorder the terms: -7 + -1x = 9 + -3(-3 + 2x) -7 + -1x = 9 + (-3 * -3 + 2x * -3) -7 + -1x = 9 + (9 + -6x) Combine like terms: 9 + 9 = 18 -7 + -1x = 18 + -6x Solving -7 + -1x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + -1x + 6x = 18 + -6x + 6x Combine like terms: -1x + 6x = 5x -7 + 5x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 5x = 18 + 0 -7 + 5x = 18 Add '7' to each side of the equation. -7 + 7 + 5x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 18 + 7 5x = 18 + 7 Combine like terms: 18 + 7 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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