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Simplifying 7x + -1(2x + 6) = 6x + -29 Reorder the terms: 7x + -1(6 + 2x) = 6x + -29 7x + (6 * -1 + 2x * -1) = 6x + -29 7x + (-6 + -2x) = 6x + -29 Reorder the terms: -6 + 7x + -2x = 6x + -29 Combine like terms: 7x + -2x = 5x -6 + 5x = 6x + -29 Reorder the terms: -6 + 5x = -29 + 6x Solving -6 + 5x = -29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 5x + -6x = -29 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = -29 + 0 -6 + -1x = -29 Add '6' to each side of the equation. -6 + 6 + -1x = -29 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -29 + 6 -1x = -29 + 6 Combine like terms: -29 + 6 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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