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Simplifying -20 + 4x = 7x + -2(x + 8) Reorder the terms: -20 + 4x = 7x + -2(8 + x) -20 + 4x = 7x + (8 * -2 + x * -2) -20 + 4x = 7x + (-16 + -2x) Reorder the terms: -20 + 4x = -16 + 7x + -2x Combine like terms: 7x + -2x = 5x -20 + 4x = -16 + 5x Solving -20 + 4x = -16 + 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. -20 + 4x + -5x = -16 + 5x + -5x Combine like terms: 4x + -5x = -1x -20 + -1x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -1x = -16 + 0 -20 + -1x = -16 Add '20' to each side of the equation. -20 + 20 + -1x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = -16 + 20 -1x = -16 + 20 Combine like terms: -16 + 20 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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