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Simplifying 2(x + -3) + -1(3x + 6) = 4x + -7 Reorder the terms: 2(-3 + x) + -1(3x + 6) = 4x + -7 (-3 * 2 + x * 2) + -1(3x + 6) = 4x + -7 (-6 + 2x) + -1(3x + 6) = 4x + -7 Reorder the terms: -6 + 2x + -1(6 + 3x) = 4x + -7 -6 + 2x + (6 * -1 + 3x * -1) = 4x + -7 -6 + 2x + (-6 + -3x) = 4x + -7 Reorder the terms: -6 + -6 + 2x + -3x = 4x + -7 Combine like terms: -6 + -6 = -12 -12 + 2x + -3x = 4x + -7 Combine like terms: 2x + -3x = -1x -12 + -1x = 4x + -7 Reorder the terms: -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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