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Simplifying 2(-2x + -3) = 4(-3x + 36) Reorder the terms: 2(-3 + -2x) = 4(-3x + 36) (-3 * 2 + -2x * 2) = 4(-3x + 36) (-6 + -4x) = 4(-3x + 36) Reorder the terms: -6 + -4x = 4(36 + -3x) -6 + -4x = (36 * 4 + -3x * 4) -6 + -4x = (144 + -12x) Solving -6 + -4x = 144 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6 + -4x + 12x = 144 + -12x + 12x Combine like terms: -4x + 12x = 8x -6 + 8x = 144 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 8x = 144 + 0 -6 + 8x = 144 Add '6' to each side of the equation. -6 + 6 + 8x = 144 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 144 + 6 8x = 144 + 6 Combine like terms: 144 + 6 = 150 8x = 150 Divide each side by '8'. x = 18.75 Simplifying x = 18.75
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