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Simplifying 4(-3x + 7) = 2(x + -3) Reorder the terms: 4(7 + -3x) = 2(x + -3) (7 * 4 + -3x * 4) = 2(x + -3) (28 + -12x) = 2(x + -3) Reorder the terms: 28 + -12x = 2(-3 + x) 28 + -12x = (-3 * 2 + x * 2) 28 + -12x = (-6 + 2x) Solving 28 + -12x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + -12x + -2x = -6 + 2x + -2x Combine like terms: -12x + -2x = -14x 28 + -14x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + -14x = -6 + 0 28 + -14x = -6 Add '-28' to each side of the equation. 28 + -28 + -14x = -6 + -28 Combine like terms: 28 + -28 = 0 0 + -14x = -6 + -28 -14x = -6 + -28 Combine like terms: -6 + -28 = -34 -14x = -34 Divide each side by '-14'. x = 2.428571429 Simplifying x = 2.428571429
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