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Simplifying 4 + -2x = 17x + -4(3x + -5) Reorder the terms: 4 + -2x = 17x + -4(-5 + 3x) 4 + -2x = 17x + (-5 * -4 + 3x * -4) 4 + -2x = 17x + (20 + -12x) Reorder the terms: 4 + -2x = 20 + 17x + -12x Combine like terms: 17x + -12x = 5x 4 + -2x = 20 + 5x Solving 4 + -2x = 20 + 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. 4 + -2x + -5x = 20 + 5x + -5x Combine like terms: -2x + -5x = -7x 4 + -7x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -7x = 20 + 0 4 + -7x = 20 Add '-4' to each side of the equation. 4 + -4 + -7x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 20 + -4 -7x = 20 + -4 Combine like terms: 20 + -4 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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