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Simplifying -5x + 2(3x + -6) = -7 + -4x Reorder the terms: -5x + 2(-6 + 3x) = -7 + -4x -5x + (-6 * 2 + 3x * 2) = -7 + -4x -5x + (-12 + 6x) = -7 + -4x Reorder the terms: -12 + -5x + 6x = -7 + -4x Combine like terms: -5x + 6x = 1x -12 + 1x = -7 + -4x Solving -12 + 1x = -7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 1x + 4x = -7 + -4x + 4x Combine like terms: 1x + 4x = 5x -12 + 5x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 5x = -7 + 0 -12 + 5x = -7 Add '12' to each side of the equation. -12 + 12 + 5x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -7 + 12 5x = -7 + 12 Combine like terms: -7 + 12 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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