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Simplifying 3(8 + -2x) + 2(7x + -19) = 0 (8 * 3 + -2x * 3) + 2(7x + -19) = 0 (24 + -6x) + 2(7x + -19) = 0 Reorder the terms: 24 + -6x + 2(-19 + 7x) = 0 24 + -6x + (-19 * 2 + 7x * 2) = 0 24 + -6x + (-38 + 14x) = 0 Reorder the terms: 24 + -38 + -6x + 14x = 0 Combine like terms: 24 + -38 = -14 -14 + -6x + 14x = 0 Combine like terms: -6x + 14x = 8x -14 + 8x = 0 Solving -14 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 0 + 14 8x = 0 + 14 Combine like terms: 0 + 14 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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