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Simplifying 3x + -2 = -1(x + 2) + (2 + -7) Reorder the terms: -2 + 3x = -1(x + 2) + (2 + -7) Reorder the terms: -2 + 3x = -1(2 + x) + (2 + -7) -2 + 3x = (2 * -1 + x * -1) + (2 + -7) -2 + 3x = (-2 + -1x) + (2 + -7) Combine like terms: 2 + -7 = -5 -2 + 3x = -2 + -1x + (-5) -2 + 3x = -2 + -1x + -5 Reorder the terms: -2 + 3x = -2 + -5 + -1x Combine like terms: -2 + -5 = -7 -2 + 3x = -7 + -1x Solving -2 + 3x = -7 + -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. -2 + 3x + x = -7 + -1x + x Combine like terms: 3x + x = 4x -2 + 4x = -7 + -1x + x Combine like terms: -1x + x = 0 -2 + 4x = -7 + 0 -2 + 4x = -7 Add '2' to each side of the equation. -2 + 2 + 4x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -7 + 2 4x = -7 + 2 Combine like terms: -7 + 2 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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