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Simplifying -15x + 11x + -3 = 1 + -5(x + 1) Reorder the terms: -3 + -15x + 11x = 1 + -5(x + 1) Combine like terms: -15x + 11x = -4x -3 + -4x = 1 + -5(x + 1) Reorder the terms: -3 + -4x = 1 + -5(1 + x) -3 + -4x = 1 + (1 * -5 + x * -5) -3 + -4x = 1 + (-5 + -5x) Combine like terms: 1 + -5 = -4 -3 + -4x = -4 + -5x Solving -3 + -4x = -4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + -4x + 5x = -4 + -5x + 5x Combine like terms: -4x + 5x = 1x -3 + 1x = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 1x = -4 + 0 -3 + 1x = -4 Add '3' to each side of the equation. -3 + 3 + 1x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -4 + 3 1x = -4 + 3 Combine like terms: -4 + 3 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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