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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 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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