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Simplifying 4(-2x + 9) = -2(3x + 7) Reorder the terms: 4(9 + -2x) = -2(3x + 7) (9 * 4 + -2x * 4) = -2(3x + 7) (36 + -8x) = -2(3x + 7) Reorder the terms: 36 + -8x = -2(7 + 3x) 36 + -8x = (7 * -2 + 3x * -2) 36 + -8x = (-14 + -6x) Solving 36 + -8x = -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. 36 + -8x + 6x = -14 + -6x + 6x Combine like terms: -8x + 6x = -2x 36 + -2x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 36 + -2x = -14 + 0 36 + -2x = -14 Add '-36' to each side of the equation. 36 + -36 + -2x = -14 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = -14 + -36 -2x = -14 + -36 Combine like terms: -14 + -36 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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