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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 = 4 16 + 12x = 4 + -3x Solving 16 + 12x = 4 + -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. 16 + 12x + 3x = 4 + -3x + 3x Combine like terms: 12x + 3x = 15x 16 + 15x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 15x = 4 + 0 16 + 15x = 4 Add '-16' to each side of the equation. 16 + -16 + 15x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 15x = 4 + -16 15x = 4 + -16 Combine like terms: 4 + -16 = -12 15x = -12 Divide each side by '15'. x = -0.8 Simplifying x = -0.8
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