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Simplifying 4(-2x + 3) = 6(x + -5) Reorder the terms: 4(3 + -2x) = 6(x + -5) (3 * 4 + -2x * 4) = 6(x + -5) (12 + -8x) = 6(x + -5) Reorder the terms: 12 + -8x = 6(-5 + x) 12 + -8x = (-5 * 6 + x * 6) 12 + -8x = (-30 + 6x) Solving 12 + -8x = -30 + 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. 12 + -8x + -6x = -30 + 6x + -6x Combine like terms: -8x + -6x = -14x 12 + -14x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -14x = -30 + 0 12 + -14x = -30 Add '-12' to each side of the equation. 12 + -12 + -14x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -30 + -12 -14x = -30 + -12 Combine like terms: -30 + -12 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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