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Simplifying 16x + -12 = 5(3x + 4) + -8 Reorder the terms: -12 + 16x = 5(3x + 4) + -8 Reorder the terms: -12 + 16x = 5(4 + 3x) + -8 -12 + 16x = (4 * 5 + 3x * 5) + -8 -12 + 16x = (20 + 15x) + -8 Reorder the terms: -12 + 16x = 20 + -8 + 15x Combine like terms: 20 + -8 = 12 -12 + 16x = 12 + 15x Solving -12 + 16x = 12 + 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. -12 + 16x + -15x = 12 + 15x + -15x Combine like terms: 16x + -15x = 1x -12 + 1x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + 1x = 12 + 0 -12 + 1x = 12 Add '12' to each side of the equation. -12 + 12 + 1x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 12 + 12 1x = 12 + 12 Combine like terms: 12 + 12 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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