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