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Simplifying 5x + 13 = 2(8x + 10) Reorder the terms: 13 + 5x = 2(8x + 10) Reorder the terms: 13 + 5x = 2(10 + 8x) 13 + 5x = (10 * 2 + 8x * 2) 13 + 5x = (20 + 16x) Solving 13 + 5x = 20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 13 + 5x + -16x = 20 + 16x + -16x Combine like terms: 5x + -16x = -11x 13 + -11x = 20 + 16x + -16x Combine like terms: 16x + -16x = 0 13 + -11x = 20 + 0 13 + -11x = 20 Add '-13' to each side of the equation. 13 + -13 + -11x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = 20 + -13 -11x = 20 + -13 Combine like terms: 20 + -13 = 7 -11x = 7 Divide each side by '-11'. x = -0.6363636364 Simplifying x = -0.6363636364
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