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Simplifying 13x + -43 = 16x + 45 Reorder the terms: -43 + 13x = 16x + 45 Reorder the terms: -43 + 13x = 45 + 16x Solving -43 + 13x = 45 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -43 + 13x + -16x = 45 + 16x + -16x Combine like terms: 13x + -16x = -3x -43 + -3x = 45 + 16x + -16x Combine like terms: 16x + -16x = 0 -43 + -3x = 45 + 0 -43 + -3x = 45 Add '43' to each side of the equation. -43 + 43 + -3x = 45 + 43 Combine like terms: -43 + 43 = 0 0 + -3x = 45 + 43 -3x = 45 + 43 Combine like terms: 45 + 43 = 88 -3x = 88 Divide each side by '-3'. x = -29.33333333 Simplifying x = -29.33333333
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