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Simplifying 4x + 30 + -1(2x + 10) = 8x + 60 + -1(4x + 30) Reorder the terms: 4x + 30 + -1(10 + 2x) = 8x + 60 + -1(4x + 30) 4x + 30 + (10 * -1 + 2x * -1) = 8x + 60 + -1(4x + 30) 4x + 30 + (-10 + -2x) = 8x + 60 + -1(4x + 30) Reorder the terms: 30 + -10 + 4x + -2x = 8x + 60 + -1(4x + 30) Combine like terms: 30 + -10 = 20 20 + 4x + -2x = 8x + 60 + -1(4x + 30) Combine like terms: 4x + -2x = 2x 20 + 2x = 8x + 60 + -1(4x + 30) Reorder the terms: 20 + 2x = 8x + 60 + -1(30 + 4x) 20 + 2x = 8x + 60 + (30 * -1 + 4x * -1) 20 + 2x = 8x + 60 + (-30 + -4x) Reorder the terms: 20 + 2x = 60 + -30 + 8x + -4x Combine like terms: 60 + -30 = 30 20 + 2x = 30 + 8x + -4x Combine like terms: 8x + -4x = 4x 20 + 2x = 30 + 4x Solving 20 + 2x = 30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 2x + -4x = 30 + 4x + -4x Combine like terms: 2x + -4x = -2x 20 + -2x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -2x = 30 + 0 20 + -2x = 30 Add '-20' to each side of the equation. 20 + -20 + -2x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 30 + -20 -2x = 30 + -20 Combine like terms: 30 + -20 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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