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Simplifying 85 + -1(4x + 10) = 4(x + 3) + x Reorder the terms: 85 + -1(10 + 4x) = 4(x + 3) + x 85 + (10 * -1 + 4x * -1) = 4(x + 3) + x 85 + (-10 + -4x) = 4(x + 3) + x Combine like terms: 85 + -10 = 75 75 + -4x = 4(x + 3) + x Reorder the terms: 75 + -4x = 4(3 + x) + x 75 + -4x = (3 * 4 + x * 4) + x 75 + -4x = (12 + 4x) + x Combine like terms: 4x + x = 5x 75 + -4x = 12 + 5x Solving 75 + -4x = 12 + 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. 75 + -4x + -5x = 12 + 5x + -5x Combine like terms: -4x + -5x = -9x 75 + -9x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 75 + -9x = 12 + 0 75 + -9x = 12 Add '-75' to each side of the equation. 75 + -75 + -9x = 12 + -75 Combine like terms: 75 + -75 = 0 0 + -9x = 12 + -75 -9x = 12 + -75 Combine like terms: 12 + -75 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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