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Simplifying -2(-9x + -2) + 1 = 10x + -43 Reorder the terms: -2(-2 + -9x) + 1 = 10x + -43 (-2 * -2 + -9x * -2) + 1 = 10x + -43 (4 + 18x) + 1 = 10x + -43 Reorder the terms: 4 + 1 + 18x = 10x + -43 Combine like terms: 4 + 1 = 5 5 + 18x = 10x + -43 Reorder the terms: 5 + 18x = -43 + 10x Solving 5 + 18x = -43 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 18x + -10x = -43 + 10x + -10x Combine like terms: 18x + -10x = 8x 5 + 8x = -43 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 8x = -43 + 0 5 + 8x = -43 Add '-5' to each side of the equation. 5 + -5 + 8x = -43 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = -43 + -5 8x = -43 + -5 Combine like terms: -43 + -5 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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