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Simplifying 9(x + -4) = -7(x + 2) + 40 Reorder the terms: 9(-4 + x) = -7(x + 2) + 40 (-4 * 9 + x * 9) = -7(x + 2) + 40 (-36 + 9x) = -7(x + 2) + 40 Reorder the terms: -36 + 9x = -7(2 + x) + 40 -36 + 9x = (2 * -7 + x * -7) + 40 -36 + 9x = (-14 + -7x) + 40 Reorder the terms: -36 + 9x = -14 + 40 + -7x Combine like terms: -14 + 40 = 26 -36 + 9x = 26 + -7x Solving -36 + 9x = 26 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -36 + 9x + 7x = 26 + -7x + 7x Combine like terms: 9x + 7x = 16x -36 + 16x = 26 + -7x + 7x Combine like terms: -7x + 7x = 0 -36 + 16x = 26 + 0 -36 + 16x = 26 Add '36' to each side of the equation. -36 + 36 + 16x = 26 + 36 Combine like terms: -36 + 36 = 0 0 + 16x = 26 + 36 16x = 26 + 36 Combine like terms: 26 + 36 = 62 16x = 62 Divide each side by '16'. x = 3.875 Simplifying x = 3.875
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