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Simplifying 11x + -3(2x + -7) = 5x + -3 + 2x Reorder the terms: 11x + -3(-7 + 2x) = 5x + -3 + 2x 11x + (-7 * -3 + 2x * -3) = 5x + -3 + 2x 11x + (21 + -6x) = 5x + -3 + 2x Reorder the terms: 21 + 11x + -6x = 5x + -3 + 2x Combine like terms: 11x + -6x = 5x 21 + 5x = 5x + -3 + 2x Reorder the terms: 21 + 5x = -3 + 5x + 2x Combine like terms: 5x + 2x = 7x 21 + 5x = -3 + 7x Solving 21 + 5x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 5x + -7x = -3 + 7x + -7x Combine like terms: 5x + -7x = -2x 21 + -2x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -2x = -3 + 0 21 + -2x = -3 Add '-21' to each side of the equation. 21 + -21 + -2x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -3 + -21 -2x = -3 + -21 Combine like terms: -3 + -21 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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