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Simplifying 2x + 4 + -1x + -7 = 3(x + 7) Reorder the terms: 4 + -7 + 2x + -1x = 3(x + 7) Combine like terms: 4 + -7 = -3 -3 + 2x + -1x = 3(x + 7) Combine like terms: 2x + -1x = 1x -3 + 1x = 3(x + 7) Reorder the terms: -3 + 1x = 3(7 + x) -3 + 1x = (7 * 3 + x * 3) -3 + 1x = (21 + 3x) Solving -3 + 1x = 21 + 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. -3 + 1x + -3x = 21 + 3x + -3x Combine like terms: 1x + -3x = -2x -3 + -2x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -2x = 21 + 0 -3 + -2x = 21 Add '3' to each side of the equation. -3 + 3 + -2x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 21 + 3 -2x = 21 + 3 Combine like terms: 21 + 3 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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