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Simplifying 3x + 43 = -16 + x + 15 Reorder the terms: 43 + 3x = -16 + x + 15 Reorder the terms: 43 + 3x = -16 + 15 + x Combine like terms: -16 + 15 = -1 43 + 3x = -1 + x Solving 43 + 3x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 43 + 3x + -1x = -1 + x + -1x Combine like terms: 3x + -1x = 2x 43 + 2x = -1 + x + -1x Combine like terms: x + -1x = 0 43 + 2x = -1 + 0 43 + 2x = -1 Add '-43' to each side of the equation. 43 + -43 + 2x = -1 + -43 Combine like terms: 43 + -43 = 0 0 + 2x = -1 + -43 2x = -1 + -43 Combine like terms: -1 + -43 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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