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Simplifying 5x + 1 + -3(x + 1) = 4x + -5 Reorder the terms: 5x + 1 + -3(1 + x) = 4x + -5 5x + 1 + (1 * -3 + x * -3) = 4x + -5 5x + 1 + (-3 + -3x) = 4x + -5 Reorder the terms: 1 + -3 + 5x + -3x = 4x + -5 Combine like terms: 1 + -3 = -2 -2 + 5x + -3x = 4x + -5 Combine like terms: 5x + -3x = 2x -2 + 2x = 4x + -5 Reorder the terms: -2 + 2x = -5 + 4x Solving -2 + 2x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 2x + -4x = -5 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -2x = -5 + 0 -2 + -2x = -5 Add '2' to each side of the equation. -2 + 2 + -2x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -5 + 2 -2x = -5 + 2 Combine like terms: -5 + 2 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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