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Simplifying 10x + 2 + -5x = -7(3x + -4) Reorder the terms: 2 + 10x + -5x = -7(3x + -4) Combine like terms: 10x + -5x = 5x 2 + 5x = -7(3x + -4) Reorder the terms: 2 + 5x = -7(-4 + 3x) 2 + 5x = (-4 * -7 + 3x * -7) 2 + 5x = (28 + -21x) Solving 2 + 5x = 28 + -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 = 28 + -21x + 21x Combine like terms: 5x + 21x = 26x 2 + 26x = 28 + -21x + 21x Combine like terms: -21x + 21x = 0 2 + 26x = 28 + 0 2 + 26x = 28 Add '-2' to each side of the equation. 2 + -2 + 26x = 28 + -2 Combine like terms: 2 + -2 = 0 0 + 26x = 28 + -2 26x = 28 + -2 Combine like terms: 28 + -2 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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