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Simplifying 2(x + -6) + 4x + 7 = 43 Reorder the terms: 2(-6 + x) + 4x + 7 = 43 (-6 * 2 + x * 2) + 4x + 7 = 43 (-12 + 2x) + 4x + 7 = 43 Reorder the terms: -12 + 7 + 2x + 4x = 43 Combine like terms: -12 + 7 = -5 -5 + 2x + 4x = 43 Combine like terms: 2x + 4x = 6x -5 + 6x = 43 Solving -5 + 6x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 43 + 5 6x = 43 + 5 Combine like terms: 43 + 5 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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