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Simplifying -5(3x + -4) = 2(3x + -7) Reorder the terms: -5(-4 + 3x) = 2(3x + -7) (-4 * -5 + 3x * -5) = 2(3x + -7) (20 + -15x) = 2(3x + -7) Reorder the terms: 20 + -15x = 2(-7 + 3x) 20 + -15x = (-7 * 2 + 3x * 2) 20 + -15x = (-14 + 6x) Solving 20 + -15x = -14 + 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. 20 + -15x + -6x = -14 + 6x + -6x Combine like terms: -15x + -6x = -21x 20 + -21x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -21x = -14 + 0 20 + -21x = -14 Add '-20' to each side of the equation. 20 + -20 + -21x = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -21x = -14 + -20 -21x = -14 + -20 Combine like terms: -14 + -20 = -34 -21x = -34 Divide each side by '-21'. x = 1.619047619 Simplifying x = 1.619047619
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