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Simplifying -7(x + -6) + 8 = 6(x + 4) Reorder the terms: -7(-6 + x) + 8 = 6(x + 4) (-6 * -7 + x * -7) + 8 = 6(x + 4) (42 + -7x) + 8 = 6(x + 4) Reorder the terms: 42 + 8 + -7x = 6(x + 4) Combine like terms: 42 + 8 = 50 50 + -7x = 6(x + 4) Reorder the terms: 50 + -7x = 6(4 + x) 50 + -7x = (4 * 6 + x * 6) 50 + -7x = (24 + 6x) Solving 50 + -7x = 24 + 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. 50 + -7x + -6x = 24 + 6x + -6x Combine like terms: -7x + -6x = -13x 50 + -13x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 50 + -13x = 24 + 0 50 + -13x = 24 Add '-50' to each side of the equation. 50 + -50 + -13x = 24 + -50 Combine like terms: 50 + -50 = 0 0 + -13x = 24 + -50 -13x = 24 + -50 Combine like terms: 24 + -50 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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