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Simplifying 4(-3x + 1) + 2(x + -4) = 16 Reorder the terms: 4(1 + -3x) + 2(x + -4) = 16 (1 * 4 + -3x * 4) + 2(x + -4) = 16 (4 + -12x) + 2(x + -4) = 16 Reorder the terms: 4 + -12x + 2(-4 + x) = 16 4 + -12x + (-4 * 2 + x * 2) = 16 4 + -12x + (-8 + 2x) = 16 Reorder the terms: 4 + -8 + -12x + 2x = 16 Combine like terms: 4 + -8 = -4 -4 + -12x + 2x = 16 Combine like terms: -12x + 2x = -10x -4 + -10x = 16 Solving -4 + -10x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -10x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 16 + 4 -10x = 16 + 4 Combine like terms: 16 + 4 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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