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Simplifying 5(x + 10) + 3(-1x + 8) = 4 Reorder the terms: 5(10 + x) + 3(-1x + 8) = 4 (10 * 5 + x * 5) + 3(-1x + 8) = 4 (50 + 5x) + 3(-1x + 8) = 4 Reorder the terms: 50 + 5x + 3(8 + -1x) = 4 50 + 5x + (8 * 3 + -1x * 3) = 4 50 + 5x + (24 + -3x) = 4 Reorder the terms: 50 + 24 + 5x + -3x = 4 Combine like terms: 50 + 24 = 74 74 + 5x + -3x = 4 Combine like terms: 5x + -3x = 2x 74 + 2x = 4 Solving 74 + 2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 2x = 4 + -74 Combine like terms: 74 + -74 = 0 0 + 2x = 4 + -74 2x = 4 + -74 Combine like terms: 4 + -74 = -70 2x = -70 Divide each side by '2'. x = -35 Simplifying x = -35
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