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Simplifying 7x + -3(x + -2) + -5 = 3x + 7 Reorder the terms: 7x + -3(-2 + x) + -5 = 3x + 7 7x + (-2 * -3 + x * -3) + -5 = 3x + 7 7x + (6 + -3x) + -5 = 3x + 7 Reorder the terms: 6 + -5 + 7x + -3x = 3x + 7 Combine like terms: 6 + -5 = 1 1 + 7x + -3x = 3x + 7 Combine like terms: 7x + -3x = 4x 1 + 4x = 3x + 7 Reorder the terms: 1 + 4x = 7 + 3x Solving 1 + 4x = 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. 1 + 4x + -3x = 7 + 3x + -3x Combine like terms: 4x + -3x = 1x 1 + 1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 1x = 7 + 0 1 + 1x = 7 Add '-1' to each side of the equation. 1 + -1 + 1x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 7 + -1 1x = 7 + -1 Combine like terms: 7 + -1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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