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Simplifying 75 + -1(4x + 10) = 4(x + 5) + x Reorder the terms: 75 + -1(10 + 4x) = 4(x + 5) + x 75 + (10 * -1 + 4x * -1) = 4(x + 5) + x 75 + (-10 + -4x) = 4(x + 5) + x Combine like terms: 75 + -10 = 65 65 + -4x = 4(x + 5) + x Reorder the terms: 65 + -4x = 4(5 + x) + x 65 + -4x = (5 * 4 + x * 4) + x 65 + -4x = (20 + 4x) + x Combine like terms: 4x + x = 5x 65 + -4x = 20 + 5x Solving 65 + -4x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 65 + -4x + -5x = 20 + 5x + -5x Combine like terms: -4x + -5x = -9x 65 + -9x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 65 + -9x = 20 + 0 65 + -9x = 20 Add '-65' to each side of the equation. 65 + -65 + -9x = 20 + -65 Combine like terms: 65 + -65 = 0 0 + -9x = 20 + -65 -9x = 20 + -65 Combine like terms: 20 + -65 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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