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