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Simplifying 8(4 + -2x) + -2(7x + -3) = 0 (4 * 8 + -2x * 8) + -2(7x + -3) = 0 (32 + -16x) + -2(7x + -3) = 0 Reorder the terms: 32 + -16x + -2(-3 + 7x) = 0 32 + -16x + (-3 * -2 + 7x * -2) = 0 32 + -16x + (6 + -14x) = 0 Reorder the terms: 32 + 6 + -16x + -14x = 0 Combine like terms: 32 + 6 = 38 38 + -16x + -14x = 0 Combine like terms: -16x + -14x = -30x 38 + -30x = 0 Solving 38 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -30x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -30x = 0 + -38 -30x = 0 + -38 Combine like terms: 0 + -38 = -38 -30x = -38 Divide each side by '-30'. x = 1.266666667 Simplifying x = 1.266666667
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