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Simplifying 7x + -5(x + 1) = 2(3 + -1x) + -5 Reorder the terms: 7x + -5(1 + x) = 2(3 + -1x) + -5 7x + (1 * -5 + x * -5) = 2(3 + -1x) + -5 7x + (-5 + -5x) = 2(3 + -1x) + -5 Reorder the terms: -5 + 7x + -5x = 2(3 + -1x) + -5 Combine like terms: 7x + -5x = 2x -5 + 2x = 2(3 + -1x) + -5 -5 + 2x = (3 * 2 + -1x * 2) + -5 -5 + 2x = (6 + -2x) + -5 Reorder the terms: -5 + 2x = 6 + -5 + -2x Combine like terms: 6 + -5 = 1 -5 + 2x = 1 + -2x Solving -5 + 2x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 2x + 2x = 1 + -2x + 2x Combine like terms: 2x + 2x = 4x -5 + 4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 4x = 1 + 0 -5 + 4x = 1 Add '5' to each side of the equation. -5 + 5 + 4x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 1 + 5 4x = 1 + 5 Combine like terms: 1 + 5 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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