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Simplifying 10x + 3(7 + -2x) = 13 + 2x 10x + (7 * 3 + -2x * 3) = 13 + 2x 10x + (21 + -6x) = 13 + 2x Reorder the terms: 21 + 10x + -6x = 13 + 2x Combine like terms: 10x + -6x = 4x 21 + 4x = 13 + 2x Solving 21 + 4x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 4x + -2x = 13 + 2x + -2x Combine like terms: 4x + -2x = 2x 21 + 2x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 2x = 13 + 0 21 + 2x = 13 Add '-21' to each side of the equation. 21 + -21 + 2x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 13 + -21 2x = 13 + -21 Combine like terms: 13 + -21 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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