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Simplifying 3(5x + -7) = 2(6x + -7) Reorder the terms: 3(-7 + 5x) = 2(6x + -7) (-7 * 3 + 5x * 3) = 2(6x + -7) (-21 + 15x) = 2(6x + -7) Reorder the terms: -21 + 15x = 2(-7 + 6x) -21 + 15x = (-7 * 2 + 6x * 2) -21 + 15x = (-14 + 12x) Solving -21 + 15x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -21 + 15x + -12x = -14 + 12x + -12x Combine like terms: 15x + -12x = 3x -21 + 3x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + 3x = -14 + 0 -21 + 3x = -14 Add '21' to each side of the equation. -21 + 21 + 3x = -14 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = -14 + 21 3x = -14 + 21 Combine like terms: -14 + 21 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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