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Simplifying -15x + 2(4x + -5) = -12 + -6x Reorder the terms: -15x + 2(-5 + 4x) = -12 + -6x -15x + (-5 * 2 + 4x * 2) = -12 + -6x -15x + (-10 + 8x) = -12 + -6x Reorder the terms: -10 + -15x + 8x = -12 + -6x Combine like terms: -15x + 8x = -7x -10 + -7x = -12 + -6x Solving -10 + -7x = -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. -10 + -7x + 6x = -12 + -6x + 6x Combine like terms: -7x + 6x = -1x -10 + -1x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + -1x = -12 + 0 -10 + -1x = -12 Add '10' to each side of the equation. -10 + 10 + -1x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -12 + 10 -1x = -12 + 10 Combine like terms: -12 + 10 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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