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Simplifying -7x + 9x + -4 = 6(x + -8) Reorder the terms: -4 + -7x + 9x = 6(x + -8) Combine like terms: -7x + 9x = 2x -4 + 2x = 6(x + -8) Reorder the terms: -4 + 2x = 6(-8 + x) -4 + 2x = (-8 * 6 + x * 6) -4 + 2x = (-48 + 6x) Solving -4 + 2x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = -48 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = -48 + 0 -4 + -4x = -48 Add '4' to each side of the equation. -4 + 4 + -4x = -48 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -48 + 4 -4x = -48 + 4 Combine like terms: -48 + 4 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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