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Simplifying -3(x + -7) = 2(3x + -5) Reorder the terms: -3(-7 + x) = 2(3x + -5) (-7 * -3 + x * -3) = 2(3x + -5) (21 + -3x) = 2(3x + -5) Reorder the terms: 21 + -3x = 2(-5 + 3x) 21 + -3x = (-5 * 2 + 3x * 2) 21 + -3x = (-10 + 6x) Solving 21 + -3x = -10 + 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 + -3x + -6x = -10 + 6x + -6x Combine like terms: -3x + -6x = -9x 21 + -9x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -9x = -10 + 0 21 + -9x = -10 Add '-21' to each side of the equation. 21 + -21 + -9x = -10 + -21 Combine like terms: 21 + -21 = 0 0 + -9x = -10 + -21 -9x = -10 + -21 Combine like terms: -10 + -21 = -31 -9x = -31 Divide each side by '-9'. x = 3.444444444 Simplifying x = 3.444444444
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