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Simplifying 4x + (1 + -6x) = 2x + -7 Remove parenthesis around (1 + -6x) 4x + 1 + -6x = 2x + -7 Reorder the terms: 1 + 4x + -6x = 2x + -7 Combine like terms: 4x + -6x = -2x 1 + -2x = 2x + -7 Reorder the terms: 1 + -2x = -7 + 2x Solving 1 + -2x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -2x + -2x = -7 + 2x + -2x Combine like terms: -2x + -2x = -4x 1 + -4x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -4x = -7 + 0 1 + -4x = -7 Add '-1' to each side of the equation. 1 + -1 + -4x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -7 + -1 -4x = -7 + -1 Combine like terms: -7 + -1 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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