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