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Simplifying -4(5x + -3) = 7(2x + 6) Reorder the terms: -4(-3 + 5x) = 7(2x + 6) (-3 * -4 + 5x * -4) = 7(2x + 6) (12 + -20x) = 7(2x + 6) Reorder the terms: 12 + -20x = 7(6 + 2x) 12 + -20x = (6 * 7 + 2x * 7) 12 + -20x = (42 + 14x) Solving 12 + -20x = 42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + -20x + -14x = 42 + 14x + -14x Combine like terms: -20x + -14x = -34x 12 + -34x = 42 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -34x = 42 + 0 12 + -34x = 42 Add '-12' to each side of the equation. 12 + -12 + -34x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -34x = 42 + -12 -34x = 42 + -12 Combine like terms: 42 + -12 = 30 -34x = 30 Divide each side by '-34'. x = -0.8823529412 Simplifying x = -0.8823529412
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