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Simplifying 3(3x + -7) + -4 = 3(x + -4) + -1 Reorder the terms: 3(-7 + 3x) + -4 = 3(x + -4) + -1 (-7 * 3 + 3x * 3) + -4 = 3(x + -4) + -1 (-21 + 9x) + -4 = 3(x + -4) + -1 Reorder the terms: -21 + -4 + 9x = 3(x + -4) + -1 Combine like terms: -21 + -4 = -25 -25 + 9x = 3(x + -4) + -1 Reorder the terms: -25 + 9x = 3(-4 + x) + -1 -25 + 9x = (-4 * 3 + x * 3) + -1 -25 + 9x = (-12 + 3x) + -1 Reorder the terms: -25 + 9x = -12 + -1 + 3x Combine like terms: -12 + -1 = -13 -25 + 9x = -13 + 3x Solving -25 + 9x = -13 + 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 = -13 + 3x + -3x Combine like terms: 9x + -3x = 6x -25 + 6x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 6x = -13 + 0 -25 + 6x = -13 Add '25' to each side of the equation. -25 + 25 + 6x = -13 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = -13 + 25 6x = -13 + 25 Combine like terms: -13 + 25 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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