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Simplifying 6(x + 5) + -1(4x + -8) = 0 Reorder the terms: 6(5 + x) + -1(4x + -8) = 0 (5 * 6 + x * 6) + -1(4x + -8) = 0 (30 + 6x) + -1(4x + -8) = 0 Reorder the terms: 30 + 6x + -1(-8 + 4x) = 0 30 + 6x + (-8 * -1 + 4x * -1) = 0 30 + 6x + (8 + -4x) = 0 Reorder the terms: 30 + 8 + 6x + -4x = 0 Combine like terms: 30 + 8 = 38 38 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 38 + 2x = 0 Solving 38 + 2x = 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 + 2x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 0 + -38 2x = 0 + -38 Combine like terms: 0 + -38 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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