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Simplifying -13x + 8(x + -6) = 6 + -11x Reorder the terms: -13x + 8(-6 + x) = 6 + -11x -13x + (-6 * 8 + x * 8) = 6 + -11x -13x + (-48 + 8x) = 6 + -11x Reorder the terms: -48 + -13x + 8x = 6 + -11x Combine like terms: -13x + 8x = -5x -48 + -5x = 6 + -11x Solving -48 + -5x = 6 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -48 + -5x + 11x = 6 + -11x + 11x Combine like terms: -5x + 11x = 6x -48 + 6x = 6 + -11x + 11x Combine like terms: -11x + 11x = 0 -48 + 6x = 6 + 0 -48 + 6x = 6 Add '48' to each side of the equation. -48 + 48 + 6x = 6 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = 6 + 48 6x = 6 + 48 Combine like terms: 6 + 48 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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