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Simplifying 43 = -6(x + -6) + 7(1 + -7x) Reorder the terms: 43 = -6(-6 + x) + 7(1 + -7x) 43 = (-6 * -6 + x * -6) + 7(1 + -7x) 43 = (36 + -6x) + 7(1 + -7x) 43 = 36 + -6x + (1 * 7 + -7x * 7) 43 = 36 + -6x + (7 + -49x) Reorder the terms: 43 = 36 + 7 + -6x + -49x Combine like terms: 36 + 7 = 43 43 = 43 + -6x + -49x Combine like terms: -6x + -49x = -55x 43 = 43 + -55x Add '-43' to each side of the equation. 43 + -43 = 43 + -43 + -55x Combine like terms: 43 + -43 = 0 0 = 43 + -43 + -55x Combine like terms: 43 + -43 = 0 0 = 0 + -55x 0 = -55x Solving 0 = -55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55x' to each side of the equation. 0 + 55x = -55x + 55x Remove the zero: 55x = -55x + 55x Combine like terms: -55x + 55x = 0 55x = 0 Divide each side by '55'. x = 0 Simplifying x = 0
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