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Simplifying -6(x + 1) = 7x + 46 Reorder the terms: -6(1 + x) = 7x + 46 (1 * -6 + x * -6) = 7x + 46 (-6 + -6x) = 7x + 46 Reorder the terms: -6 + -6x = 46 + 7x Solving -6 + -6x = 46 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -6x + -7x = 46 + 7x + -7x Combine like terms: -6x + -7x = -13x -6 + -13x = 46 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -13x = 46 + 0 -6 + -13x = 46 Add '6' to each side of the equation. -6 + 6 + -13x = 46 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = 46 + 6 -13x = 46 + 6 Combine like terms: 46 + 6 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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