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Simplifying 7(x + -1) = -9(x + 4) + 49 Reorder the terms: 7(-1 + x) = -9(x + 4) + 49 (-1 * 7 + x * 7) = -9(x + 4) + 49 (-7 + 7x) = -9(x + 4) + 49 Reorder the terms: -7 + 7x = -9(4 + x) + 49 -7 + 7x = (4 * -9 + x * -9) + 49 -7 + 7x = (-36 + -9x) + 49 Reorder the terms: -7 + 7x = -36 + 49 + -9x Combine like terms: -36 + 49 = 13 -7 + 7x = 13 + -9x Solving -7 + 7x = 13 + -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. -7 + 7x + 9x = 13 + -9x + 9x Combine like terms: 7x + 9x = 16x -7 + 16x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + 16x = 13 + 0 -7 + 16x = 13 Add '7' to each side of the equation. -7 + 7 + 16x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 13 + 7 16x = 13 + 7 Combine like terms: 13 + 7 = 20 16x = 20 Divide each side by '16'. x = 1.25 Simplifying x = 1.25
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