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Simplifying 2x + 43 = -15x + 1 + -4x Reorder the terms: 43 + 2x = -15x + 1 + -4x Reorder the terms: 43 + 2x = 1 + -15x + -4x Combine like terms: -15x + -4x = -19x 43 + 2x = 1 + -19x Solving 43 + 2x = 1 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 43 + 2x + 19x = 1 + -19x + 19x Combine like terms: 2x + 19x = 21x 43 + 21x = 1 + -19x + 19x Combine like terms: -19x + 19x = 0 43 + 21x = 1 + 0 43 + 21x = 1 Add '-43' to each side of the equation. 43 + -43 + 21x = 1 + -43 Combine like terms: 43 + -43 = 0 0 + 21x = 1 + -43 21x = 1 + -43 Combine like terms: 1 + -43 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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