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Simplifying 6x + 5 = 8(r + 2) + -2x Reorder the terms: 5 + 6x = 8(r + 2) + -2x Reorder the terms: 5 + 6x = 8(2 + r) + -2x 5 + 6x = (2 * 8 + r * 8) + -2x 5 + 6x = (16 + 8r) + -2x Solving 5 + 6x = 16 + 8r + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 6x + 2x = 16 + 8r + -2x + 2x Combine like terms: 6x + 2x = 8x 5 + 8x = 16 + 8r + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 8x = 16 + 8r + 0 5 + 8x = 16 + 8r Add '-5' to each side of the equation. 5 + -5 + 8x = 16 + -5 + 8r Combine like terms: 5 + -5 = 0 0 + 8x = 16 + -5 + 8r 8x = 16 + -5 + 8r Combine like terms: 16 + -5 = 11 8x = 11 + 8r Divide each side by '8'. x = 1.375 + r Simplifying x = 1.375 + r
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