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Simplifying 3x + -34 = 7(x + -2) Reorder the terms: -34 + 3x = 7(x + -2) Reorder the terms: -34 + 3x = 7(-2 + x) -34 + 3x = (-2 * 7 + x * 7) -34 + 3x = (-14 + 7x) Solving -34 + 3x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -34 + 3x + -7x = -14 + 7x + -7x Combine like terms: 3x + -7x = -4x -34 + -4x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -34 + -4x = -14 + 0 -34 + -4x = -14 Add '34' to each side of the equation. -34 + 34 + -4x = -14 + 34 Combine like terms: -34 + 34 = 0 0 + -4x = -14 + 34 -4x = -14 + 34 Combine like terms: -14 + 34 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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