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Simplifying 16x + -7 = 5(3x + 2) + -3 Reorder the terms: -7 + 16x = 5(3x + 2) + -3 Reorder the terms: -7 + 16x = 5(2 + 3x) + -3 -7 + 16x = (2 * 5 + 3x * 5) + -3 -7 + 16x = (10 + 15x) + -3 Reorder the terms: -7 + 16x = 10 + -3 + 15x Combine like terms: 10 + -3 = 7 -7 + 16x = 7 + 15x Solving -7 + 16x = 7 + 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. -7 + 16x + -15x = 7 + 15x + -15x Combine like terms: 16x + -15x = 1x -7 + 1x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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