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Simplifying 3(3x + -7) + -4 = 3(x + -2) + 5 Reorder the terms: 3(-7 + 3x) + -4 = 3(x + -2) + 5 (-7 * 3 + 3x * 3) + -4 = 3(x + -2) + 5 (-21 + 9x) + -4 = 3(x + -2) + 5 Reorder the terms: -21 + -4 + 9x = 3(x + -2) + 5 Combine like terms: -21 + -4 = -25 -25 + 9x = 3(x + -2) + 5 Reorder the terms: -25 + 9x = 3(-2 + x) + 5 -25 + 9x = (-2 * 3 + x * 3) + 5 -25 + 9x = (-6 + 3x) + 5 Reorder the terms: -25 + 9x = -6 + 5 + 3x Combine like terms: -6 + 5 = -1 -25 + 9x = -1 + 3x Solving -25 + 9x = -1 + 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. -25 + 9x + -3x = -1 + 3x + -3x Combine like terms: 9x + -3x = 6x -25 + 6x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 6x = -1 + 0 -25 + 6x = -1 Add '25' to each side of the equation. -25 + 25 + 6x = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = -1 + 25 6x = -1 + 25 Combine like terms: -1 + 25 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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