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Simplifying 5(2x + 7) + 6(2 + -1x) = 43 Reorder the terms: 5(7 + 2x) + 6(2 + -1x) = 43 (7 * 5 + 2x * 5) + 6(2 + -1x) = 43 (35 + 10x) + 6(2 + -1x) = 43 35 + 10x + (2 * 6 + -1x * 6) = 43 35 + 10x + (12 + -6x) = 43 Reorder the terms: 35 + 12 + 10x + -6x = 43 Combine like terms: 35 + 12 = 47 47 + 10x + -6x = 43 Combine like terms: 10x + -6x = 4x 47 + 4x = 43 Solving 47 + 4x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 4x = 43 + -47 Combine like terms: 47 + -47 = 0 0 + 4x = 43 + -47 4x = 43 + -47 Combine like terms: 43 + -47 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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