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Simplifying x + -7 = 6(5 + -6x) Reorder the terms: -7 + x = 6(5 + -6x) -7 + x = (5 * 6 + -6x * 6) -7 + x = (30 + -36x) Solving -7 + x = 30 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -7 + x + 36x = 30 + -36x + 36x Combine like terms: x + 36x = 37x -7 + 37x = 30 + -36x + 36x Combine like terms: -36x + 36x = 0 -7 + 37x = 30 + 0 -7 + 37x = 30 Add '7' to each side of the equation. -7 + 7 + 37x = 30 + 7 Combine like terms: -7 + 7 = 0 0 + 37x = 30 + 7 37x = 30 + 7 Combine like terms: 30 + 7 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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