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Simplifying -1 + 6(x + 7) = -3x + -13 Reorder the terms: -1 + 6(7 + x) = -3x + -13 -1 + (7 * 6 + x * 6) = -3x + -13 -1 + (42 + 6x) = -3x + -13 Combine like terms: -1 + 42 = 41 41 + 6x = -3x + -13 Reorder the terms: 41 + 6x = -13 + -3x Solving 41 + 6x = -13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 41 + 6x + 3x = -13 + -3x + 3x Combine like terms: 6x + 3x = 9x 41 + 9x = -13 + -3x + 3x Combine like terms: -3x + 3x = 0 41 + 9x = -13 + 0 41 + 9x = -13 Add '-41' to each side of the equation. 41 + -41 + 9x = -13 + -41 Combine like terms: 41 + -41 = 0 0 + 9x = -13 + -41 9x = -13 + -41 Combine like terms: -13 + -41 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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