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Simplifying 3x + -2(4x + 5) = 3(-5 + -10) Reorder the terms: 3x + -2(5 + 4x) = 3(-5 + -10) 3x + (5 * -2 + 4x * -2) = 3(-5 + -10) 3x + (-10 + -8x) = 3(-5 + -10) Reorder the terms: -10 + 3x + -8x = 3(-5 + -10) Combine like terms: 3x + -8x = -5x -10 + -5x = 3(-5 + -10) Combine like terms: -5 + -10 = -15 -10 + -5x = 3(-15) Multiply 3 * -15 -10 + -5x = -45 Solving -10 + -5x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -5x = -45 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -45 + 10 -5x = -45 + 10 Combine like terms: -45 + 10 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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