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Simplifying 3(3x + -7) = 6(4 + -1x) Reorder the terms: 3(-7 + 3x) = 6(4 + -1x) (-7 * 3 + 3x * 3) = 6(4 + -1x) (-21 + 9x) = 6(4 + -1x) -21 + 9x = (4 * 6 + -1x * 6) -21 + 9x = (24 + -6x) Solving -21 + 9x = 24 + -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. -21 + 9x + 6x = 24 + -6x + 6x Combine like terms: 9x + 6x = 15x -21 + 15x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 15x = 24 + 0 -21 + 15x = 24 Add '21' to each side of the equation. -21 + 21 + 15x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = 24 + 21 15x = 24 + 21 Combine like terms: 24 + 21 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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