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Simplifying 4x + -9(x + 1) = 7 + -1x Reorder the terms: 4x + -9(1 + x) = 7 + -1x 4x + (1 * -9 + x * -9) = 7 + -1x 4x + (-9 + -9x) = 7 + -1x Reorder the terms: -9 + 4x + -9x = 7 + -1x Combine like terms: 4x + -9x = -5x -9 + -5x = 7 + -1x Solving -9 + -5x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + -5x + x = 7 + -1x + x Combine like terms: -5x + x = -4x -9 + -4x = 7 + -1x + x Combine like terms: -1x + x = 0 -9 + -4x = 7 + 0 -9 + -4x = 7 Add '9' to each side of the equation. -9 + 9 + -4x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 7 + 9 -4x = 7 + 9 Combine like terms: 7 + 9 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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