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Simplifying (6x + 23) + -1(7x + -42) = 0 Reorder the terms: (23 + 6x) + -1(7x + -42) = 0 Remove parenthesis around (23 + 6x) 23 + 6x + -1(7x + -42) = 0 Reorder the terms: 23 + 6x + -1(-42 + 7x) = 0 23 + 6x + (-42 * -1 + 7x * -1) = 0 23 + 6x + (42 + -7x) = 0 Reorder the terms: 23 + 42 + 6x + -7x = 0 Combine like terms: 23 + 42 = 65 65 + 6x + -7x = 0 Combine like terms: 6x + -7x = -1x 65 + -1x = 0 Solving 65 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -1x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -1x = 0 + -65 -1x = 0 + -65 Combine like terms: 0 + -65 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65
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