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Simplifying -5x + 6(x + 8) = 23 + 6x Reorder the terms: -5x + 6(8 + x) = 23 + 6x -5x + (8 * 6 + x * 6) = 23 + 6x -5x + (48 + 6x) = 23 + 6x Reorder the terms: 48 + -5x + 6x = 23 + 6x Combine like terms: -5x + 6x = 1x 48 + 1x = 23 + 6x Solving 48 + 1x = 23 + 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. 48 + 1x + -6x = 23 + 6x + -6x Combine like terms: 1x + -6x = -5x 48 + -5x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + -5x = 23 + 0 48 + -5x = 23 Add '-48' to each side of the equation. 48 + -48 + -5x = 23 + -48 Combine like terms: 48 + -48 = 0 0 + -5x = 23 + -48 -5x = 23 + -48 Combine like terms: 23 + -48 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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