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Simplifying 2x + 5 = 8(x + 5) + 13 Reorder the terms: 5 + 2x = 8(x + 5) + 13 Reorder the terms: 5 + 2x = 8(5 + x) + 13 5 + 2x = (5 * 8 + x * 8) + 13 5 + 2x = (40 + 8x) + 13 Reorder the terms: 5 + 2x = 40 + 13 + 8x Combine like terms: 40 + 13 = 53 5 + 2x = 53 + 8x Solving 5 + 2x = 53 + 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. 5 + 2x + -8x = 53 + 8x + -8x Combine like terms: 2x + -8x = -6x 5 + -6x = 53 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -6x = 53 + 0 5 + -6x = 53 Add '-5' to each side of the equation. 5 + -5 + -6x = 53 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 53 + -5 -6x = 53 + -5 Combine like terms: 53 + -5 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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