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