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Simplifying -3 + -4(x + -5) = -2(x + 3) + 11 Reorder the terms: -3 + -4(-5 + x) = -2(x + 3) + 11 -3 + (-5 * -4 + x * -4) = -2(x + 3) + 11 -3 + (20 + -4x) = -2(x + 3) + 11 Combine like terms: -3 + 20 = 17 17 + -4x = -2(x + 3) + 11 Reorder the terms: 17 + -4x = -2(3 + x) + 11 17 + -4x = (3 * -2 + x * -2) + 11 17 + -4x = (-6 + -2x) + 11 Reorder the terms: 17 + -4x = -6 + 11 + -2x Combine like terms: -6 + 11 = 5 17 + -4x = 5 + -2x Solving 17 + -4x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + -4x + 2x = 5 + -2x + 2x Combine like terms: -4x + 2x = -2x 17 + -2x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + -2x = 5 + 0 17 + -2x = 5 Add '-17' to each side of the equation. 17 + -17 + -2x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 5 + -17 -2x = 5 + -17 Combine like terms: 5 + -17 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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