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Simplifying (x + 4) + -1(2x + -6) = 1 Reorder the terms: (4 + x) + -1(2x + -6) = 1 Remove parenthesis around (4 + x) 4 + x + -1(2x + -6) = 1 Reorder the terms: 4 + x + -1(-6 + 2x) = 1 4 + x + (-6 * -1 + 2x * -1) = 1 4 + x + (6 + -2x) = 1 Reorder the terms: 4 + 6 + x + -2x = 1 Combine like terms: 4 + 6 = 10 10 + x + -2x = 1 Combine like terms: x + -2x = -1x 10 + -1x = 1 Solving 10 + -1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 1 + -10 -1x = 1 + -10 Combine like terms: 1 + -10 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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