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Simplifying 4x + 4(x + -1) = 9x + 1 Reorder the terms: 4x + 4(-1 + x) = 9x + 1 4x + (-1 * 4 + x * 4) = 9x + 1 4x + (-4 + 4x) = 9x + 1 Reorder the terms: -4 + 4x + 4x = 9x + 1 Combine like terms: 4x + 4x = 8x -4 + 8x = 9x + 1 Reorder the terms: -4 + 8x = 1 + 9x Solving -4 + 8x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 8x + -9x = 1 + 9x + -9x Combine like terms: 8x + -9x = -1x -4 + -1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -1x = 1 + 0 -4 + -1x = 1 Add '4' to each side of the equation. -4 + 4 + -1x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 1 + 4 -1x = 1 + 4 Combine like terms: 1 + 4 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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