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Simplifying 3 + 2(3x + -8) = 5x + 23 Reorder the terms: 3 + 2(-8 + 3x) = 5x + 23 3 + (-8 * 2 + 3x * 2) = 5x + 23 3 + (-16 + 6x) = 5x + 23 Combine like terms: 3 + -16 = -13 -13 + 6x = 5x + 23 Reorder the terms: -13 + 6x = 23 + 5x Solving -13 + 6x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + 6x + -5x = 23 + 5x + -5x Combine like terms: 6x + -5x = 1x -13 + 1x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 1x = 23 + 0 -13 + 1x = 23 Add '13' to each side of the equation. -13 + 13 + 1x = 23 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 23 + 13 1x = 23 + 13 Combine like terms: 23 + 13 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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