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Simplifying 2 + 7x + -5 = 6(x + 3) + 2x Reorder the terms: 2 + -5 + 7x = 6(x + 3) + 2x Combine like terms: 2 + -5 = -3 -3 + 7x = 6(x + 3) + 2x Reorder the terms: -3 + 7x = 6(3 + x) + 2x -3 + 7x = (3 * 6 + x * 6) + 2x -3 + 7x = (18 + 6x) + 2x Combine like terms: 6x + 2x = 8x -3 + 7x = 18 + 8x Solving -3 + 7x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 7x + -8x = 18 + 8x + -8x Combine like terms: 7x + -8x = -1x -3 + -1x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -1x = 18 + 0 -3 + -1x = 18 Add '3' to each side of the equation. -3 + 3 + -1x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 18 + 3 -1x = 18 + 3 Combine like terms: 18 + 3 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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