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Simplifying 7(2x + 6) = 4(x + -2) Reorder the terms: 7(6 + 2x) = 4(x + -2) (6 * 7 + 2x * 7) = 4(x + -2) (42 + 14x) = 4(x + -2) Reorder the terms: 42 + 14x = 4(-2 + x) 42 + 14x = (-2 * 4 + x * 4) 42 + 14x = (-8 + 4x) Solving 42 + 14x = -8 + 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. 42 + 14x + -4x = -8 + 4x + -4x Combine like terms: 14x + -4x = 10x 42 + 10x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 10x = -8 + 0 42 + 10x = -8 Add '-42' to each side of the equation. 42 + -42 + 10x = -8 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = -8 + -42 10x = -8 + -42 Combine like terms: -8 + -42 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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