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Simplifying 7(2x + 3) = 4(x + -7) Reorder the terms: 7(3 + 2x) = 4(x + -7) (3 * 7 + 2x * 7) = 4(x + -7) (21 + 14x) = 4(x + -7) Reorder the terms: 21 + 14x = 4(-7 + x) 21 + 14x = (-7 * 4 + x * 4) 21 + 14x = (-28 + 4x) Solving 21 + 14x = -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. 21 + 14x + -4x = -28 + 4x + -4x Combine like terms: 14x + -4x = 10x 21 + 10x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 10x = -28 + 0 21 + 10x = -28 Add '-21' to each side of the equation. 21 + -21 + 10x = -28 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = -28 + -21 10x = -28 + -21 Combine like terms: -28 + -21 = -49 10x = -49 Divide each side by '10'. x = -4.9 Simplifying x = -4.9
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