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Simplifying 3x + -7 = 2(x + 2) + -3 Reorder the terms: -7 + 3x = 2(x + 2) + -3 Reorder the terms: -7 + 3x = 2(2 + x) + -3 -7 + 3x = (2 * 2 + x * 2) + -3 -7 + 3x = (4 + 2x) + -3 Reorder the terms: -7 + 3x = 4 + -3 + 2x Combine like terms: 4 + -3 = 1 -7 + 3x = 1 + 2x Solving -7 + 3x = 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. -7 + 3x + -2x = 1 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = 1 + 0 -7 + 1x = 1 Add '7' to each side of the equation. -7 + 7 + 1x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 1 + 7 1x = 1 + 7 Combine like terms: 1 + 7 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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