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Simplifying 3x + 16 = 2x + -5(x + -8) + 26 Reorder the terms: 16 + 3x = 2x + -5(x + -8) + 26 Reorder the terms: 16 + 3x = 2x + -5(-8 + x) + 26 16 + 3x = 2x + (-8 * -5 + x * -5) + 26 16 + 3x = 2x + (40 + -5x) + 26 Reorder the terms: 16 + 3x = 40 + 26 + 2x + -5x Combine like terms: 40 + 26 = 66 16 + 3x = 66 + 2x + -5x Combine like terms: 2x + -5x = -3x 16 + 3x = 66 + -3x Solving 16 + 3x = 66 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 16 + 3x + 3x = 66 + -3x + 3x Combine like terms: 3x + 3x = 6x 16 + 6x = 66 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 6x = 66 + 0 16 + 6x = 66 Add '-16' to each side of the equation. 16 + -16 + 6x = 66 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 66 + -16 6x = 66 + -16 Combine like terms: 66 + -16 = 50 6x = 50 Divide each side by '6'. x = 8.333333333 Simplifying x = 8.333333333
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