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Simplifying 12x + 16 = 10 + -3(x + -2) Reorder the terms: 16 + 12x = 10 + -3(x + -2) Reorder the terms: 16 + 12x = 10 + -3(-2 + x) 16 + 12x = 10 + (-2 * -3 + x * -3) 16 + 12x = 10 + (6 + -3x) Combine like terms: 10 + 6 = 16 16 + 12x = 16 + -3x Add '-16' to each side of the equation. 16 + -16 + 12x = 16 + -16 + -3x Combine like terms: 16 + -16 = 0 0 + 12x = 16 + -16 + -3x 12x = 16 + -16 + -3x Combine like terms: 16 + -16 = 0 12x = 0 + -3x 12x = -3x Solving 12x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12x + 3x = -3x + 3x Combine like terms: 12x + 3x = 15x 15x = -3x + 3x Combine like terms: -3x + 3x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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