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Simplifying 3x + 2 = 7(x + -2) Reorder the terms: 2 + 3x = 7(x + -2) Reorder the terms: 2 + 3x = 7(-2 + x) 2 + 3x = (-2 * 7 + x * 7) 2 + 3x = (-14 + 7x) Solving 2 + 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. 2 + 3x + -7x = -14 + 7x + -7x Combine like terms: 3x + -7x = -4x 2 + -4x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -4x = -14 + 0 2 + -4x = -14 Add '-2' to each side of the equation. 2 + -2 + -4x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -14 + -2 -4x = -14 + -2 Combine like terms: -14 + -2 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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