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Simplifying 2x + 7(3x + -4) = -2 + -3x Reorder the terms: 2x + 7(-4 + 3x) = -2 + -3x 2x + (-4 * 7 + 3x * 7) = -2 + -3x 2x + (-28 + 21x) = -2 + -3x Reorder the terms: -28 + 2x + 21x = -2 + -3x Combine like terms: 2x + 21x = 23x -28 + 23x = -2 + -3x Solving -28 + 23x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 23x + 3x = -2 + -3x + 3x Combine like terms: 23x + 3x = 26x -28 + 26x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 26x = -2 + 0 -28 + 26x = -2 Add '28' to each side of the equation. -28 + 28 + 26x = -2 + 28 Combine like terms: -28 + 28 = 0 0 + 26x = -2 + 28 26x = -2 + 28 Combine like terms: -2 + 28 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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