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Simplifying 5x + -7 = -7 + 2(x + 3) Reorder the terms: -7 + 5x = -7 + 2(x + 3) Reorder the terms: -7 + 5x = -7 + 2(3 + x) -7 + 5x = -7 + (3 * 2 + x * 2) -7 + 5x = -7 + (6 + 2x) Combine like terms: -7 + 6 = -1 -7 + 5x = -1 + 2x Solving -7 + 5x = -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 + 5x + -2x = -1 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = -1 + 0 -7 + 3x = -1 Add '7' to each side of the equation. -7 + 7 + 3x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -1 + 7 3x = -1 + 7 Combine like terms: -1 + 7 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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