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Simplifying 5x + -7 = 3(x + -2) + 3 Reorder the terms: -7 + 5x = 3(x + -2) + 3 Reorder the terms: -7 + 5x = 3(-2 + x) + 3 -7 + 5x = (-2 * 3 + x * 3) + 3 -7 + 5x = (-6 + 3x) + 3 Reorder the terms: -7 + 5x = -6 + 3 + 3x Combine like terms: -6 + 3 = -3 -7 + 5x = -3 + 3x Solving -7 + 5x = -3 + 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 + 5x + -3x = -3 + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = -3 + 0 -7 + 2x = -3 Add '7' to each side of the equation. -7 + 7 + 2x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -3 + 7 2x = -3 + 7 Combine like terms: -3 + 7 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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