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Simplifying 12x + -5 = -3(2x + -4) Reorder the terms: -5 + 12x = -3(2x + -4) Reorder the terms: -5 + 12x = -3(-4 + 2x) -5 + 12x = (-4 * -3 + 2x * -3) -5 + 12x = (12 + -6x) Solving -5 + 12x = 12 + -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. -5 + 12x + 6x = 12 + -6x + 6x Combine like terms: 12x + 6x = 18x -5 + 18x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 18x = 12 + 0 -5 + 18x = 12 Add '5' to each side of the equation. -5 + 5 + 18x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 12 + 5 18x = 12 + 5 Combine like terms: 12 + 5 = 17 18x = 17 Divide each side by '18'. x = 0.9444444444 Simplifying x = 0.9444444444
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