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Simplifying 5(x + 6) + -1(4x + -8) = 1 Reorder the terms: 5(6 + x) + -1(4x + -8) = 1 (6 * 5 + x * 5) + -1(4x + -8) = 1 (30 + 5x) + -1(4x + -8) = 1 Reorder the terms: 30 + 5x + -1(-8 + 4x) = 1 30 + 5x + (-8 * -1 + 4x * -1) = 1 30 + 5x + (8 + -4x) = 1 Reorder the terms: 30 + 8 + 5x + -4x = 1 Combine like terms: 30 + 8 = 38 38 + 5x + -4x = 1 Combine like terms: 5x + -4x = 1x 38 + 1x = 1 Solving 38 + 1x = 1 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 + 1x = 1 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 1 + -38 1x = 1 + -38 Combine like terms: 1 + -38 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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