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Simplifying 7(x + -6) + 8 = 3(x + -6) Reorder the terms: 7(-6 + x) + 8 = 3(x + -6) (-6 * 7 + x * 7) + 8 = 3(x + -6) (-42 + 7x) + 8 = 3(x + -6) Reorder the terms: -42 + 8 + 7x = 3(x + -6) Combine like terms: -42 + 8 = -34 -34 + 7x = 3(x + -6) Reorder the terms: -34 + 7x = 3(-6 + x) -34 + 7x = (-6 * 3 + x * 3) -34 + 7x = (-18 + 3x) Solving -34 + 7x = -18 + 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. -34 + 7x + -3x = -18 + 3x + -3x Combine like terms: 7x + -3x = 4x -34 + 4x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -34 + 4x = -18 + 0 -34 + 4x = -18 Add '34' to each side of the equation. -34 + 34 + 4x = -18 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = -18 + 34 4x = -18 + 34 Combine like terms: -18 + 34 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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