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Simplifying 6(x + -3) + -4(x + 4) = 16 Reorder the terms: 6(-3 + x) + -4(x + 4) = 16 (-3 * 6 + x * 6) + -4(x + 4) = 16 (-18 + 6x) + -4(x + 4) = 16 Reorder the terms: -18 + 6x + -4(4 + x) = 16 -18 + 6x + (4 * -4 + x * -4) = 16 -18 + 6x + (-16 + -4x) = 16 Reorder the terms: -18 + -16 + 6x + -4x = 16 Combine like terms: -18 + -16 = -34 -34 + 6x + -4x = 16 Combine like terms: 6x + -4x = 2x -34 + 2x = 16 Solving -34 + 2x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 2x = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 2x = 16 + 34 2x = 16 + 34 Combine like terms: 16 + 34 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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