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Simplifying -20 = -7 + -4(x + 2) + 5(3x + -1) Reorder the terms: -20 = -7 + -4(2 + x) + 5(3x + -1) -20 = -7 + (2 * -4 + x * -4) + 5(3x + -1) -20 = -7 + (-8 + -4x) + 5(3x + -1) Reorder the terms: -20 = -7 + -8 + -4x + 5(-1 + 3x) -20 = -7 + -8 + -4x + (-1 * 5 + 3x * 5) -20 = -7 + -8 + -4x + (-5 + 15x) Reorder the terms: -20 = -7 + -8 + -5 + -4x + 15x Combine like terms: -7 + -8 = -15 -20 = -15 + -5 + -4x + 15x Combine like terms: -15 + -5 = -20 -20 = -20 + -4x + 15x Combine like terms: -4x + 15x = 11x -20 = -20 + 11x Add '20' to each side of the equation. -20 + 20 = -20 + 20 + 11x Combine like terms: -20 + 20 = 0 0 = -20 + 20 + 11x Combine like terms: -20 + 20 = 0 0 = 0 + 11x 0 = 11x Solving 0 = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 0 + -11x = 11x + -11x Remove the zero: -11x = 11x + -11x Combine like terms: 11x + -11x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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