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Simplifying 2x + -7 = 2(x + 4) + 3x Reorder the terms: -7 + 2x = 2(x + 4) + 3x Reorder the terms: -7 + 2x = 2(4 + x) + 3x -7 + 2x = (4 * 2 + x * 2) + 3x -7 + 2x = (8 + 2x) + 3x Combine like terms: 2x + 3x = 5x -7 + 2x = 8 + 5x Solving -7 + 2x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 2x + -5x = 8 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = 8 + 0 -7 + -3x = 8 Add '7' to each side of the equation. -7 + 7 + -3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 8 + 7 -3x = 8 + 7 Combine like terms: 8 + 7 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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