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Simplifying 3 + -1(4x + 10) = 2(2x + 5) Reorder the terms: 3 + -1(10 + 4x) = 2(2x + 5) 3 + (10 * -1 + 4x * -1) = 2(2x + 5) 3 + (-10 + -4x) = 2(2x + 5) Combine like terms: 3 + -10 = -7 -7 + -4x = 2(2x + 5) Reorder the terms: -7 + -4x = 2(5 + 2x) -7 + -4x = (5 * 2 + 2x * 2) -7 + -4x = (10 + 4x) Solving -7 + -4x = 10 + 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. -7 + -4x + -4x = 10 + 4x + -4x Combine like terms: -4x + -4x = -8x -7 + -8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -8x = 10 + 0 -7 + -8x = 10 Add '7' to each side of the equation. -7 + 7 + -8x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 10 + 7 -8x = 10 + 7 Combine like terms: 10 + 7 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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