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Simplifying 3x + -7(2x + -4) = 3(1 + -2x) Reorder the terms: 3x + -7(-4 + 2x) = 3(1 + -2x) 3x + (-4 * -7 + 2x * -7) = 3(1 + -2x) 3x + (28 + -14x) = 3(1 + -2x) Reorder the terms: 28 + 3x + -14x = 3(1 + -2x) Combine like terms: 3x + -14x = -11x 28 + -11x = 3(1 + -2x) 28 + -11x = (1 * 3 + -2x * 3) 28 + -11x = (3 + -6x) Solving 28 + -11x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 28 + -11x + 6x = 3 + -6x + 6x Combine like terms: -11x + 6x = -5x 28 + -5x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 28 + -5x = 3 + 0 28 + -5x = 3 Add '-28' to each side of the equation. 28 + -28 + -5x = 3 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 3 + -28 -5x = 3 + -28 Combine like terms: 3 + -28 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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