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Simplifying -2x + 4 = 5(x + -4) + 17 Reorder the terms: 4 + -2x = 5(x + -4) + 17 Reorder the terms: 4 + -2x = 5(-4 + x) + 17 4 + -2x = (-4 * 5 + x * 5) + 17 4 + -2x = (-20 + 5x) + 17 Reorder the terms: 4 + -2x = -20 + 17 + 5x Combine like terms: -20 + 17 = -3 4 + -2x = -3 + 5x Solving 4 + -2x = -3 + 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 = -3 + 5x + -5x Combine like terms: -2x + -5x = -7x 4 + -7x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -7x = -3 + 0 4 + -7x = -3 Add '-4' to each side of the equation. 4 + -4 + -7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -3 + -4 -7x = -3 + -4 Combine like terms: -3 + -4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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