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Simplifying -4x + -7 + -5(x + 1) = 4x + 1 Reorder the terms: -4x + -7 + -5(1 + x) = 4x + 1 -4x + -7 + (1 * -5 + x * -5) = 4x + 1 -4x + -7 + (-5 + -5x) = 4x + 1 Reorder the terms: -7 + -5 + -4x + -5x = 4x + 1 Combine like terms: -7 + -5 = -12 -12 + -4x + -5x = 4x + 1 Combine like terms: -4x + -5x = -9x -12 + -9x = 4x + 1 Reorder the terms: -12 + -9x = 1 + 4x Solving -12 + -9x = 1 + 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. -12 + -9x + -4x = 1 + 4x + -4x Combine like terms: -9x + -4x = -13x -12 + -13x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -13x = 1 + 0 -12 + -13x = 1 Add '12' to each side of the equation. -12 + 12 + -13x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -13x = 1 + 12 -13x = 1 + 12 Combine like terms: 1 + 12 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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