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