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Simplifying 6(x + -7) + 8 = 2(x + -7) Reorder the terms: 6(-7 + x) + 8 = 2(x + -7) (-7 * 6 + x * 6) + 8 = 2(x + -7) (-42 + 6x) + 8 = 2(x + -7) Reorder the terms: -42 + 8 + 6x = 2(x + -7) Combine like terms: -42 + 8 = -34 -34 + 6x = 2(x + -7) Reorder the terms: -34 + 6x = 2(-7 + x) -34 + 6x = (-7 * 2 + x * 2) -34 + 6x = (-14 + 2x) Solving -34 + 6x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -34 + 6x + -2x = -14 + 2x + -2x Combine like terms: 6x + -2x = 4x -34 + 4x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + 4x = -14 + 0 -34 + 4x = -14 Add '34' to each side of the equation. -34 + 34 + 4x = -14 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = -14 + 34 4x = -14 + 34 Combine like terms: -14 + 34 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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