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Simplifying 5x + -3 = 2 + -3(x + 1) Reorder the terms: -3 + 5x = 2 + -3(x + 1) Reorder the terms: -3 + 5x = 2 + -3(1 + x) -3 + 5x = 2 + (1 * -3 + x * -3) -3 + 5x = 2 + (-3 + -3x) Combine like terms: 2 + -3 = -1 -3 + 5x = -1 + -3x Solving -3 + 5x = -1 + -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. -3 + 5x + 3x = -1 + -3x + 3x Combine like terms: 5x + 3x = 8x -3 + 8x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 8x = -1 + 0 -3 + 8x = -1 Add '3' to each side of the equation. -3 + 3 + 8x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -1 + 3 8x = -1 + 3 Combine like terms: -1 + 3 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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