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Simplifying 7 + 3(x + -6) = 43 + -3(x + 6) Reorder the terms: 7 + 3(-6 + x) = 43 + -3(x + 6) 7 + (-6 * 3 + x * 3) = 43 + -3(x + 6) 7 + (-18 + 3x) = 43 + -3(x + 6) Combine like terms: 7 + -18 = -11 -11 + 3x = 43 + -3(x + 6) Reorder the terms: -11 + 3x = 43 + -3(6 + x) -11 + 3x = 43 + (6 * -3 + x * -3) -11 + 3x = 43 + (-18 + -3x) Combine like terms: 43 + -18 = 25 -11 + 3x = 25 + -3x Solving -11 + 3x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -11 + 3x + 3x = 25 + -3x + 3x Combine like terms: 3x + 3x = 6x -11 + 6x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 6x = 25 + 0 -11 + 6x = 25 Add '11' to each side of the equation. -11 + 11 + 6x = 25 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 25 + 11 6x = 25 + 11 Combine like terms: 25 + 11 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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