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Simplifying 7(x + -1) = 9(x + -4) Reorder the terms: 7(-1 + x) = 9(x + -4) (-1 * 7 + x * 7) = 9(x + -4) (-7 + 7x) = 9(x + -4) Reorder the terms: -7 + 7x = 9(-4 + x) -7 + 7x = (-4 * 9 + x * 9) -7 + 7x = (-36 + 9x) Solving -7 + 7x = -36 + 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 = -36 + 9x + -9x Combine like terms: 7x + -9x = -2x -7 + -2x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -2x = -36 + 0 -7 + -2x = -36 Add '7' to each side of the equation. -7 + 7 + -2x = -36 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -36 + 7 -2x = -36 + 7 Combine like terms: -36 + 7 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5
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