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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 = 2 2 + 6x + -4x = 16 Combine like terms: 6x + -4x = 2x 2 + 2x = 16 Solving 2 + 2x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 16 + -2 2x = 16 + -2 Combine like terms: 16 + -2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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