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Simplifying 4(2x + -7) + -6 = 4(x + -6) + -2 Reorder the terms: 4(-7 + 2x) + -6 = 4(x + -6) + -2 (-7 * 4 + 2x * 4) + -6 = 4(x + -6) + -2 (-28 + 8x) + -6 = 4(x + -6) + -2 Reorder the terms: -28 + -6 + 8x = 4(x + -6) + -2 Combine like terms: -28 + -6 = -34 -34 + 8x = 4(x + -6) + -2 Reorder the terms: -34 + 8x = 4(-6 + x) + -2 -34 + 8x = (-6 * 4 + x * 4) + -2 -34 + 8x = (-24 + 4x) + -2 Reorder the terms: -34 + 8x = -24 + -2 + 4x Combine like terms: -24 + -2 = -26 -34 + 8x = -26 + 4x Solving -34 + 8x = -26 + 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 + 8x + -4x = -26 + 4x + -4x Combine like terms: 8x + -4x = 4x -34 + 4x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 -34 + 4x = -26 + 0 -34 + 4x = -26 Add '34' to each side of the equation. -34 + 34 + 4x = -26 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = -26 + 34 4x = -26 + 34 Combine like terms: -26 + 34 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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