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Simplifying 3(-12x + -5) = -11x + -10(1 + 3x) Reorder the terms: 3(-5 + -12x) = -11x + -10(1 + 3x) (-5 * 3 + -12x * 3) = -11x + -10(1 + 3x) (-15 + -36x) = -11x + -10(1 + 3x) -15 + -36x = -11x + (1 * -10 + 3x * -10) -15 + -36x = -11x + (-10 + -30x) Reorder the terms: -15 + -36x = -10 + -11x + -30x Combine like terms: -11x + -30x = -41x -15 + -36x = -10 + -41x Solving -15 + -36x = -10 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -15 + -36x + 41x = -10 + -41x + 41x Combine like terms: -36x + 41x = 5x -15 + 5x = -10 + -41x + 41x Combine like terms: -41x + 41x = 0 -15 + 5x = -10 + 0 -15 + 5x = -10 Add '15' to each side of the equation. -15 + 15 + 5x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -10 + 15 5x = -10 + 15 Combine like terms: -10 + 15 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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