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Simplifying 2(3x + 2) = 4(x + -7) Reorder the terms: 2(2 + 3x) = 4(x + -7) (2 * 2 + 3x * 2) = 4(x + -7) (4 + 6x) = 4(x + -7) Reorder the terms: 4 + 6x = 4(-7 + x) 4 + 6x = (-7 * 4 + x * 4) 4 + 6x = (-28 + 4x) Solving 4 + 6x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 6x + -4x = -28 + 4x + -4x Combine like terms: 6x + -4x = 2x 4 + 2x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 2x = -28 + 0 4 + 2x = -28 Add '-4' to each side of the equation. 4 + -4 + 2x = -28 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -28 + -4 2x = -28 + -4 Combine like terms: -28 + -4 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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