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Simplifying -2x + -7 = 3(4x + 7) Reorder the terms: -7 + -2x = 3(4x + 7) Reorder the terms: -7 + -2x = 3(7 + 4x) -7 + -2x = (7 * 3 + 4x * 3) -7 + -2x = (21 + 12x) Solving -7 + -2x = 21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -7 + -2x + -12x = 21 + 12x + -12x Combine like terms: -2x + -12x = -14x -7 + -14x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -14x = 21 + 0 -7 + -14x = 21 Add '7' to each side of the equation. -7 + 7 + -14x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -14x = 21 + 7 -14x = 21 + 7 Combine like terms: 21 + 7 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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