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Simplifying 7(x + -1) = -9(x + 3) + 38 Reorder the terms: 7(-1 + x) = -9(x + 3) + 38 (-1 * 7 + x * 7) = -9(x + 3) + 38 (-7 + 7x) = -9(x + 3) + 38 Reorder the terms: -7 + 7x = -9(3 + x) + 38 -7 + 7x = (3 * -9 + x * -9) + 38 -7 + 7x = (-27 + -9x) + 38 Reorder the terms: -7 + 7x = -27 + 38 + -9x Combine like terms: -27 + 38 = 11 -7 + 7x = 11 + -9x Solving -7 + 7x = 11 + -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 = 11 + -9x + 9x Combine like terms: 7x + 9x = 16x -7 + 16x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + 16x = 11 + 0 -7 + 16x = 11 Add '7' to each side of the equation. -7 + 7 + 16x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 11 + 7 16x = 11 + 7 Combine like terms: 11 + 7 = 18 16x = 18 Divide each side by '16'. x = 1.125 Simplifying x = 1.125
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