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Simplifying 16x + -23 = 5(3x + 5) + -2 Reorder the terms: -23 + 16x = 5(3x + 5) + -2 Reorder the terms: -23 + 16x = 5(5 + 3x) + -2 -23 + 16x = (5 * 5 + 3x * 5) + -2 -23 + 16x = (25 + 15x) + -2 Reorder the terms: -23 + 16x = 25 + -2 + 15x Combine like terms: 25 + -2 = 23 -23 + 16x = 23 + 15x Solving -23 + 16x = 23 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -23 + 16x + -15x = 23 + 15x + -15x Combine like terms: 16x + -15x = 1x -23 + 1x = 23 + 15x + -15x Combine like terms: 15x + -15x = 0 -23 + 1x = 23 + 0 -23 + 1x = 23 Add '23' to each side of the equation. -23 + 23 + 1x = 23 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 23 + 23 1x = 23 + 23 Combine like terms: 23 + 23 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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