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