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Simplifying 5x + 3 + -1(2x + 5) = 7x + -10 Reorder the terms: 5x + 3 + -1(5 + 2x) = 7x + -10 5x + 3 + (5 * -1 + 2x * -1) = 7x + -10 5x + 3 + (-5 + -2x) = 7x + -10 Reorder the terms: 3 + -5 + 5x + -2x = 7x + -10 Combine like terms: 3 + -5 = -2 -2 + 5x + -2x = 7x + -10 Combine like terms: 5x + -2x = 3x -2 + 3x = 7x + -10 Reorder the terms: -2 + 3x = -10 + 7x Solving -2 + 3x = -10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 3x + -7x = -10 + 7x + -7x Combine like terms: 3x + -7x = -4x -2 + -4x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -4x = -10 + 0 -2 + -4x = -10 Add '2' to each side of the equation. -2 + 2 + -4x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -10 + 2 -4x = -10 + 2 Combine like terms: -10 + 2 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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