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Simplifying -4(2x + -3) = -6(x + 3) Reorder the terms: -4(-3 + 2x) = -6(x + 3) (-3 * -4 + 2x * -4) = -6(x + 3) (12 + -8x) = -6(x + 3) Reorder the terms: 12 + -8x = -6(3 + x) 12 + -8x = (3 * -6 + x * -6) 12 + -8x = (-18 + -6x) Solving 12 + -8x = -18 + -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 = -18 + -6x + 6x Combine like terms: -8x + 6x = -2x 12 + -2x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + -2x = -18 + 0 12 + -2x = -18 Add '-12' to each side of the equation. 12 + -12 + -2x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -18 + -12 -2x = -18 + -12 Combine like terms: -18 + -12 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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