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