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Simplifying 2(2x + 7) + -3(x + 4) = 0 Reorder the terms: 2(7 + 2x) + -3(x + 4) = 0 (7 * 2 + 2x * 2) + -3(x + 4) = 0 (14 + 4x) + -3(x + 4) = 0 Reorder the terms: 14 + 4x + -3(4 + x) = 0 14 + 4x + (4 * -3 + x * -3) = 0 14 + 4x + (-12 + -3x) = 0 Reorder the terms: 14 + -12 + 4x + -3x = 0 Combine like terms: 14 + -12 = 2 2 + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x 2 + 1x = 0 Solving 2 + 1x = 0 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 + 1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 0 + -2 1x = 0 + -2 Combine like terms: 0 + -2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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