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Simplifying 5 + -6x = 6(7x + -6) + -7 Reorder the terms: 5 + -6x = 6(-6 + 7x) + -7 5 + -6x = (-6 * 6 + 7x * 6) + -7 5 + -6x = (-36 + 42x) + -7 Reorder the terms: 5 + -6x = -36 + -7 + 42x Combine like terms: -36 + -7 = -43 5 + -6x = -43 + 42x Solving 5 + -6x = -43 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 5 + -6x + -42x = -43 + 42x + -42x Combine like terms: -6x + -42x = -48x 5 + -48x = -43 + 42x + -42x Combine like terms: 42x + -42x = 0 5 + -48x = -43 + 0 5 + -48x = -43 Add '-5' to each side of the equation. 5 + -5 + -48x = -43 + -5 Combine like terms: 5 + -5 = 0 0 + -48x = -43 + -5 -48x = -43 + -5 Combine like terms: -43 + -5 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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