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Simplifying 3(2x + 7) + -2(x + 4) = 0 Reorder the terms: 3(7 + 2x) + -2(x + 4) = 0 (7 * 3 + 2x * 3) + -2(x + 4) = 0 (21 + 6x) + -2(x + 4) = 0 Reorder the terms: 21 + 6x + -2(4 + x) = 0 21 + 6x + (4 * -2 + x * -2) = 0 21 + 6x + (-8 + -2x) = 0 Reorder the terms: 21 + -8 + 6x + -2x = 0 Combine like terms: 21 + -8 = 13 13 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 13 + 4x = 0 Solving 13 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 0 + -13 4x = 0 + -13 Combine like terms: 0 + -13 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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