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Simplifying 13x + -7(-2 + x) = 4x + -10 13x + (-2 * -7 + x * -7) = 4x + -10 13x + (14 + -7x) = 4x + -10 Reorder the terms: 14 + 13x + -7x = 4x + -10 Combine like terms: 13x + -7x = 6x 14 + 6x = 4x + -10 Reorder the terms: 14 + 6x = -10 + 4x Solving 14 + 6x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 6x + -4x = -10 + 4x + -4x Combine like terms: 6x + -4x = 2x 14 + 2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 2x = -10 + 0 14 + 2x = -10 Add '-14' to each side of the equation. 14 + -14 + 2x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = -10 + -14 2x = -10 + -14 Combine like terms: -10 + -14 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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