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Simplifying 6 + -4(3x + -2) = 3x + -16 Reorder the terms: 6 + -4(-2 + 3x) = 3x + -16 6 + (-2 * -4 + 3x * -4) = 3x + -16 6 + (8 + -12x) = 3x + -16 Combine like terms: 6 + 8 = 14 14 + -12x = 3x + -16 Reorder the terms: 14 + -12x = -16 + 3x Solving 14 + -12x = -16 + 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. 14 + -12x + -3x = -16 + 3x + -3x Combine like terms: -12x + -3x = -15x 14 + -15x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -15x = -16 + 0 14 + -15x = -16 Add '-14' to each side of the equation. 14 + -14 + -15x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -15x = -16 + -14 -15x = -16 + -14 Combine like terms: -16 + -14 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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