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