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Simplifying 13 + -2(2x + 1) = 7x + -3(7 + x) Reorder the terms: 13 + -2(1 + 2x) = 7x + -3(7 + x) 13 + (1 * -2 + 2x * -2) = 7x + -3(7 + x) 13 + (-2 + -4x) = 7x + -3(7 + x) Combine like terms: 13 + -2 = 11 11 + -4x = 7x + -3(7 + x) 11 + -4x = 7x + (7 * -3 + x * -3) 11 + -4x = 7x + (-21 + -3x) Reorder the terms: 11 + -4x = -21 + 7x + -3x Combine like terms: 7x + -3x = 4x 11 + -4x = -21 + 4x Solving 11 + -4x = -21 + 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. 11 + -4x + -4x = -21 + 4x + -4x Combine like terms: -4x + -4x = -8x 11 + -8x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -8x = -21 + 0 11 + -8x = -21 Add '-11' to each side of the equation. 11 + -11 + -8x = -21 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = -21 + -11 -8x = -21 + -11 Combine like terms: -21 + -11 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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