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Simplifying 16x + -19 = 5(3x + 5) + -6 Reorder the terms: -19 + 16x = 5(3x + 5) + -6 Reorder the terms: -19 + 16x = 5(5 + 3x) + -6 -19 + 16x = (5 * 5 + 3x * 5) + -6 -19 + 16x = (25 + 15x) + -6 Reorder the terms: -19 + 16x = 25 + -6 + 15x Combine like terms: 25 + -6 = 19 -19 + 16x = 19 + 15x Solving -19 + 16x = 19 + 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. -19 + 16x + -15x = 19 + 15x + -15x Combine like terms: 16x + -15x = 1x -19 + 1x = 19 + 15x + -15x Combine like terms: 15x + -15x = 0 -19 + 1x = 19 + 0 -19 + 1x = 19 Add '19' to each side of the equation. -19 + 19 + 1x = 19 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = 19 + 19 1x = 19 + 19 Combine like terms: 19 + 19 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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