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Simplifying -1x + 43 = 3x + 15 Reorder the terms: 43 + -1x = 3x + 15 Reorder the terms: 43 + -1x = 15 + 3x Solving 43 + -1x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 43 + -1x + -3x = 15 + 3x + -3x Combine like terms: -1x + -3x = -4x 43 + -4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 43 + -4x = 15 + 0 43 + -4x = 15 Add '-43' to each side of the equation. 43 + -43 + -4x = 15 + -43 Combine like terms: 43 + -43 = 0 0 + -4x = 15 + -43 -4x = 15 + -43 Combine like terms: 15 + -43 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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