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Simplifying 2x + -3(5 + -1x) = 6x + -12 2x + (5 * -3 + -1x * -3) = 6x + -12 2x + (-15 + 3x) = 6x + -12 Reorder the terms: -15 + 2x + 3x = 6x + -12 Combine like terms: 2x + 3x = 5x -15 + 5x = 6x + -12 Reorder the terms: -15 + 5x = -12 + 6x Solving -15 + 5x = -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. -15 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x -15 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -1x = -12 + 0 -15 + -1x = -12 Add '15' to each side of the equation. -15 + 15 + -1x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -12 + 15 -1x = -12 + 15 Combine like terms: -12 + 15 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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