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Simplifying 2 = 3x + -2(2x + -5) + -3 Reorder the terms: 2 = 3x + -2(-5 + 2x) + -3 2 = 3x + (-5 * -2 + 2x * -2) + -3 2 = 3x + (10 + -4x) + -3 Reorder the terms: 2 = 10 + -3 + 3x + -4x Combine like terms: 10 + -3 = 7 2 = 7 + 3x + -4x Combine like terms: 3x + -4x = -1x 2 = 7 + -1x Solving 2 = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + x = 7 + -1x + x Combine like terms: -1x + x = 0 2 + x = 7 + 0 2 + x = 7 Add '-2' to each side of the equation. 2 + -2 + x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + x = 7 + -2 x = 7 + -2 Combine like terms: 7 + -2 = 5 x = 5 Simplifying x = 5
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