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Simplifying 3(4x + -7) = -2(3x + -5) Reorder the terms: 3(-7 + 4x) = -2(3x + -5) (-7 * 3 + 4x * 3) = -2(3x + -5) (-21 + 12x) = -2(3x + -5) Reorder the terms: -21 + 12x = -2(-5 + 3x) -21 + 12x = (-5 * -2 + 3x * -2) -21 + 12x = (10 + -6x) Solving -21 + 12x = 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 + 12x + 6x = 10 + -6x + 6x Combine like terms: 12x + 6x = 18x -21 + 18x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 18x = 10 + 0 -21 + 18x = 10 Add '21' to each side of the equation. -21 + 21 + 18x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 18x = 10 + 21 18x = 10 + 21 Combine like terms: 10 + 21 = 31 18x = 31 Divide each side by '18'. x = 1.722222222 Simplifying x = 1.722222222
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