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Simplifying 4(x + -6) + 4 = 2(x + -7) Reorder the terms: 4(-6 + x) + 4 = 2(x + -7) (-6 * 4 + x * 4) + 4 = 2(x + -7) (-24 + 4x) + 4 = 2(x + -7) Reorder the terms: -24 + 4 + 4x = 2(x + -7) Combine like terms: -24 + 4 = -20 -20 + 4x = 2(x + -7) Reorder the terms: -20 + 4x = 2(-7 + x) -20 + 4x = (-7 * 2 + x * 2) -20 + 4x = (-14 + 2x) Solving -20 + 4x = -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. -20 + 4x + -2x = -14 + 2x + -2x Combine like terms: 4x + -2x = 2x -20 + 2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 2x = -14 + 0 -20 + 2x = -14 Add '20' to each side of the equation. -20 + 20 + 2x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -14 + 20 2x = -14 + 20 Combine like terms: -14 + 20 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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