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Simplifying 1(40 + -7x) + -1(45 + -42) + 1(9x + -48) = 0 (40 * 1 + -7x * 1) + -1(45 + -42) + 1(9x + -48) = 0 (40 + -7x) + -1(45 + -42) + 1(9x + -48) = 0 Combine like terms: 45 + -42 = 3 40 + -7x + -1(3) + 1(9x + -48) = 0 Multiply -1 * 3 40 + -7x + -3 + 1(9x + -48) = 0 Reorder the terms: 40 + -7x + -3 + 1(-48 + 9x) = 0 40 + -7x + -3 + (-48 * 1 + 9x * 1) = 0 40 + -7x + -3 + (-48 + 9x) = 0 Reorder the terms: 40 + -3 + -48 + -7x + 9x = 0 Combine like terms: 40 + -3 = 37 37 + -48 + -7x + 9x = 0 Combine like terms: 37 + -48 = -11 -11 + -7x + 9x = 0 Combine like terms: -7x + 9x = 2x -11 + 2x = 0 Solving -11 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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