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Simplifying -7 + 3x = -1(x + 9) Reorder the terms: -7 + 3x = -1(9 + x) -7 + 3x = (9 * -1 + x * -1) -7 + 3x = (-9 + -1x) Solving -7 + 3x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + 3x + x = -9 + -1x + x Combine like terms: 3x + x = 4x -7 + 4x = -9 + -1x + x Combine like terms: -1x + x = 0 -7 + 4x = -9 + 0 -7 + 4x = -9 Add '7' to each side of the equation. -7 + 7 + 4x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -9 + 7 4x = -9 + 7 Combine like terms: -9 + 7 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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