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Simplifying -7(2x + -4) = 3x + 7 + 4x Reorder the terms: -7(-4 + 2x) = 3x + 7 + 4x (-4 * -7 + 2x * -7) = 3x + 7 + 4x (28 + -14x) = 3x + 7 + 4x Reorder the terms: 28 + -14x = 7 + 3x + 4x Combine like terms: 3x + 4x = 7x 28 + -14x = 7 + 7x Solving 28 + -14x = 7 + 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. 28 + -14x + -7x = 7 + 7x + -7x Combine like terms: -14x + -7x = -21x 28 + -21x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + -21x = 7 + 0 28 + -21x = 7 Add '-28' to each side of the equation. 28 + -28 + -21x = 7 + -28 Combine like terms: 28 + -28 = 0 0 + -21x = 7 + -28 -21x = 7 + -28 Combine like terms: 7 + -28 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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