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Simplifying 3(2x + -7) = 3(3x + -5) Reorder the terms: 3(-7 + 2x) = 3(3x + -5) (-7 * 3 + 2x * 3) = 3(3x + -5) (-21 + 6x) = 3(3x + -5) Reorder the terms: -21 + 6x = 3(-5 + 3x) -21 + 6x = (-5 * 3 + 3x * 3) -21 + 6x = (-15 + 9x) Solving -21 + 6x = -15 + 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 + 6x + -9x = -15 + 9x + -9x Combine like terms: 6x + -9x = -3x -21 + -3x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -3x = -15 + 0 -21 + -3x = -15 Add '21' to each side of the equation. -21 + 21 + -3x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -15 + 21 -3x = -15 + 21 Combine like terms: -15 + 21 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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