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Simplifying 4x + 5 + -2(-5x + 3) = 4x + 17 Reorder the terms: 4x + 5 + -2(3 + -5x) = 4x + 17 4x + 5 + (3 * -2 + -5x * -2) = 4x + 17 4x + 5 + (-6 + 10x) = 4x + 17 Reorder the terms: 5 + -6 + 4x + 10x = 4x + 17 Combine like terms: 5 + -6 = -1 -1 + 4x + 10x = 4x + 17 Combine like terms: 4x + 10x = 14x -1 + 14x = 4x + 17 Reorder the terms: -1 + 14x = 17 + 4x Solving -1 + 14x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 14x + -4x = 17 + 4x + -4x Combine like terms: 14x + -4x = 10x -1 + 10x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 10x = 17 + 0 -1 + 10x = 17 Add '1' to each side of the equation. -1 + 1 + 10x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 17 + 1 10x = 17 + 1 Combine like terms: 17 + 1 = 18 10x = 18 Divide each side by '10'. x = 1.8 Simplifying x = 1.8
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