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Simplifying 2(3x + -2) + -1 = -2x + 43 Reorder the terms: 2(-2 + 3x) + -1 = -2x + 43 (-2 * 2 + 3x * 2) + -1 = -2x + 43 (-4 + 6x) + -1 = -2x + 43 Reorder the terms: -4 + -1 + 6x = -2x + 43 Combine like terms: -4 + -1 = -5 -5 + 6x = -2x + 43 Reorder the terms: -5 + 6x = 43 + -2x Solving -5 + 6x = 43 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 6x + 2x = 43 + -2x + 2x Combine like terms: 6x + 2x = 8x -5 + 8x = 43 + -2x + 2x Combine like terms: -2x + 2x = 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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