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Simplifying -7(x + -4) + 5(x + 2) + 2(2x + -1) = 0 Reorder the terms: -7(-4 + x) + 5(x + 2) + 2(2x + -1) = 0 (-4 * -7 + x * -7) + 5(x + 2) + 2(2x + -1) = 0 (28 + -7x) + 5(x + 2) + 2(2x + -1) = 0 Reorder the terms: 28 + -7x + 5(2 + x) + 2(2x + -1) = 0 28 + -7x + (2 * 5 + x * 5) + 2(2x + -1) = 0 28 + -7x + (10 + 5x) + 2(2x + -1) = 0 Reorder the terms: 28 + -7x + 10 + 5x + 2(-1 + 2x) = 0 28 + -7x + 10 + 5x + (-1 * 2 + 2x * 2) = 0 28 + -7x + 10 + 5x + (-2 + 4x) = 0 Reorder the terms: 28 + 10 + -2 + -7x + 5x + 4x = 0 Combine like terms: 28 + 10 = 38 38 + -2 + -7x + 5x + 4x = 0 Combine like terms: 38 + -2 = 36 36 + -7x + 5x + 4x = 0 Combine like terms: -7x + 5x = -2x 36 + -2x + 4x = 0 Combine like terms: -2x + 4x = 2x 36 + 2x = 0 Solving 36 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 2x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 0 + -36 2x = 0 + -36 Combine like terms: 0 + -36 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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