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Simplifying -9 + -5x = -4(x + 1) + 1 Reorder the terms: -9 + -5x = -4(1 + x) + 1 -9 + -5x = (1 * -4 + x * -4) + 1 -9 + -5x = (-4 + -4x) + 1 Reorder the terms: -9 + -5x = -4 + 1 + -4x Combine like terms: -4 + 1 = -3 -9 + -5x = -3 + -4x Solving -9 + -5x = -3 + -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. -9 + -5x + 4x = -3 + -4x + 4x Combine like terms: -5x + 4x = -1x -9 + -1x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + -1x = -3 + 0 -9 + -1x = -3 Add '9' to each side of the equation. -9 + 9 + -1x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -3 + 9 -1x = -3 + 9 Combine like terms: -3 + 9 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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