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Simplifying 5x + -1(2x + 3) = 10 + -1(x + 1) Reorder the terms: 5x + -1(3 + 2x) = 10 + -1(x + 1) 5x + (3 * -1 + 2x * -1) = 10 + -1(x + 1) 5x + (-3 + -2x) = 10 + -1(x + 1) Reorder the terms: -3 + 5x + -2x = 10 + -1(x + 1) Combine like terms: 5x + -2x = 3x -3 + 3x = 10 + -1(x + 1) Reorder the terms: -3 + 3x = 10 + -1(1 + x) -3 + 3x = 10 + (1 * -1 + x * -1) -3 + 3x = 10 + (-1 + -1x) Combine like terms: 10 + -1 = 9 -3 + 3x = 9 + -1x Solving -3 + 3x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 3x + x = 9 + -1x + x Combine like terms: 3x + x = 4x -3 + 4x = 9 + -1x + x Combine like terms: -1x + x = 0 -3 + 4x = 9 + 0 -3 + 4x = 9 Add '3' to each side of the equation. -3 + 3 + 4x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 9 + 3 4x = 9 + 3 Combine like terms: 9 + 3 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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