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Simplifying 5x + -2 = 5 + -7(3x + 4) Reorder the terms: -2 + 5x = 5 + -7(3x + 4) Reorder the terms: -2 + 5x = 5 + -7(4 + 3x) -2 + 5x = 5 + (4 * -7 + 3x * -7) -2 + 5x = 5 + (-28 + -21x) Combine like terms: 5 + -28 = -23 -2 + 5x = -23 + -21x Solving -2 + 5x = -23 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -2 + 5x + 21x = -23 + -21x + 21x Combine like terms: 5x + 21x = 26x -2 + 26x = -23 + -21x + 21x Combine like terms: -21x + 21x = 0 -2 + 26x = -23 + 0 -2 + 26x = -23 Add '2' to each side of the equation. -2 + 2 + 26x = -23 + 2 Combine like terms: -2 + 2 = 0 0 + 26x = -23 + 2 26x = -23 + 2 Combine like terms: -23 + 2 = -21 26x = -21 Divide each side by '26'. x = -0.8076923077 Simplifying x = -0.8076923077
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