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Simplifying 6(x + -7) + 8 = 4(x + -7) Reorder the terms: 6(-7 + x) + 8 = 4(x + -7) (-7 * 6 + x * 6) + 8 = 4(x + -7) (-42 + 6x) + 8 = 4(x + -7) Reorder the terms: -42 + 8 + 6x = 4(x + -7) Combine like terms: -42 + 8 = -34 -34 + 6x = 4(x + -7) Reorder the terms: -34 + 6x = 4(-7 + x) -34 + 6x = (-7 * 4 + x * 4) -34 + 6x = (-28 + 4x) Solving -34 + 6x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -34 + 6x + -4x = -28 + 4x + -4x Combine like terms: 6x + -4x = 2x -34 + 2x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -34 + 2x = -28 + 0 -34 + 2x = -28 Add '34' to each side of the equation. -34 + 34 + 2x = -28 + 34 Combine like terms: -34 + 34 = 0 0 + 2x = -28 + 34 2x = -28 + 34 Combine like terms: -28 + 34 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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