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Simplifying 11x + -4(2x + -3) = 18 + 5(x + 2) Reorder the terms: 11x + -4(-3 + 2x) = 18 + 5(x + 2) 11x + (-3 * -4 + 2x * -4) = 18 + 5(x + 2) 11x + (12 + -8x) = 18 + 5(x + 2) Reorder the terms: 12 + 11x + -8x = 18 + 5(x + 2) Combine like terms: 11x + -8x = 3x 12 + 3x = 18 + 5(x + 2) Reorder the terms: 12 + 3x = 18 + 5(2 + x) 12 + 3x = 18 + (2 * 5 + x * 5) 12 + 3x = 18 + (10 + 5x) Combine like terms: 18 + 10 = 28 12 + 3x = 28 + 5x Solving 12 + 3x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 3x + -5x = 28 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -2x = 28 + 0 12 + -2x = 28 Add '-12' to each side of the equation. 12 + -12 + -2x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 28 + -12 -2x = 28 + -12 Combine like terms: 28 + -12 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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