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Simplifying -7(2 + -6x) + -4x = 23 + x (2 * -7 + -6x * -7) + -4x = 23 + x (-14 + 42x) + -4x = 23 + x Combine like terms: 42x + -4x = 38x -14 + 38x = 23 + x Solving -14 + 38x = 23 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 38x + -1x = 23 + x + -1x Combine like terms: 38x + -1x = 37x -14 + 37x = 23 + x + -1x Combine like terms: x + -1x = 0 -14 + 37x = 23 + 0 -14 + 37x = 23 Add '14' to each side of the equation. -14 + 14 + 37x = 23 + 14 Combine like terms: -14 + 14 = 0 0 + 37x = 23 + 14 37x = 23 + 14 Combine like terms: 23 + 14 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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