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Simplifying 6(2x + -5) = -3(7 + -3x) Reorder the terms: 6(-5 + 2x) = -3(7 + -3x) (-5 * 6 + 2x * 6) = -3(7 + -3x) (-30 + 12x) = -3(7 + -3x) -30 + 12x = (7 * -3 + -3x * -3) -30 + 12x = (-21 + 9x) Solving -30 + 12x = -21 + 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. -30 + 12x + -9x = -21 + 9x + -9x Combine like terms: 12x + -9x = 3x -30 + 3x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + 3x = -21 + 0 -30 + 3x = -21 Add '30' to each side of the equation. -30 + 30 + 3x = -21 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -21 + 30 3x = -21 + 30 Combine like terms: -21 + 30 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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