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Simplifying 5x + -1(2x + 10) = x + (3x + 5) Reorder the terms: 5x + -1(10 + 2x) = x + (3x + 5) 5x + (10 * -1 + 2x * -1) = x + (3x + 5) 5x + (-10 + -2x) = x + (3x + 5) Reorder the terms: -10 + 5x + -2x = x + (3x + 5) Combine like terms: 5x + -2x = 3x -10 + 3x = x + (3x + 5) Reorder the terms: -10 + 3x = x + (5 + 3x) Remove parenthesis around (5 + 3x) -10 + 3x = x + 5 + 3x Reorder the terms: -10 + 3x = 5 + x + 3x Combine like terms: x + 3x = 4x -10 + 3x = 5 + 4x Solving -10 + 3x = 5 + 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. -10 + 3x + -4x = 5 + 4x + -4x Combine like terms: 3x + -4x = -1x -10 + -1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -1x = 5 + 0 -10 + -1x = 5 Add '10' to each side of the equation. -10 + 10 + -1x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 5 + 10 -1x = 5 + 10 Combine like terms: 5 + 10 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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