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Simplifying x + -4(x + -7) = 8x + 6 Reorder the terms: x + -4(-7 + x) = 8x + 6 x + (-7 * -4 + x * -4) = 8x + 6 x + (28 + -4x) = 8x + 6 Reorder the terms: 28 + x + -4x = 8x + 6 Combine like terms: x + -4x = -3x 28 + -3x = 8x + 6 Reorder the terms: 28 + -3x = 6 + 8x Solving 28 + -3x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 28 + -3x + -8x = 6 + 8x + -8x Combine like terms: -3x + -8x = -11x 28 + -11x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -11x = 6 + 0 28 + -11x = 6 Add '-28' to each side of the equation. 28 + -28 + -11x = 6 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = 6 + -28 -11x = 6 + -28 Combine like terms: 6 + -28 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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