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Simplifying 7(x + -3) = -9(x + 4) + 45 Reorder the terms: 7(-3 + x) = -9(x + 4) + 45 (-3 * 7 + x * 7) = -9(x + 4) + 45 (-21 + 7x) = -9(x + 4) + 45 Reorder the terms: -21 + 7x = -9(4 + x) + 45 -21 + 7x = (4 * -9 + x * -9) + 45 -21 + 7x = (-36 + -9x) + 45 Reorder the terms: -21 + 7x = -36 + 45 + -9x Combine like terms: -36 + 45 = 9 -21 + 7x = 9 + -9x Solving -21 + 7x = 9 + -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. -21 + 7x + 9x = 9 + -9x + 9x Combine like terms: 7x + 9x = 16x -21 + 16x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 -21 + 16x = 9 + 0 -21 + 16x = 9 Add '21' to each side of the equation. -21 + 21 + 16x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 16x = 9 + 21 16x = 9 + 21 Combine like terms: 9 + 21 = 30 16x = 30 Divide each side by '16'. x = 1.875 Simplifying x = 1.875
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