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Simplifying 11 + 2x + -12x = 3(x + -5) Combine like terms: 2x + -12x = -10x 11 + -10x = 3(x + -5) Reorder the terms: 11 + -10x = 3(-5 + x) 11 + -10x = (-5 * 3 + x * 3) 11 + -10x = (-15 + 3x) Solving 11 + -10x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + -10x + -3x = -15 + 3x + -3x Combine like terms: -10x + -3x = -13x 11 + -13x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -13x = -15 + 0 11 + -13x = -15 Add '-11' to each side of the equation. 11 + -11 + -13x = -15 + -11 Combine like terms: 11 + -11 = 0 0 + -13x = -15 + -11 -13x = -15 + -11 Combine like terms: -15 + -11 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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