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Simplifying -11x + -23 = -3(4x + 10) Reorder the terms: -23 + -11x = -3(4x + 10) Reorder the terms: -23 + -11x = -3(10 + 4x) -23 + -11x = (10 * -3 + 4x * -3) -23 + -11x = (-30 + -12x) Solving -23 + -11x = -30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -23 + -11x + 12x = -30 + -12x + 12x Combine like terms: -11x + 12x = 1x -23 + 1x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 -23 + 1x = -30 + 0 -23 + 1x = -30 Add '23' to each side of the equation. -23 + 23 + 1x = -30 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = -30 + 23 1x = -30 + 23 Combine like terms: -30 + 23 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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