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Simplifying 7 + 2(3x + -11) = 5x + -10 Reorder the terms: 7 + 2(-11 + 3x) = 5x + -10 7 + (-11 * 2 + 3x * 2) = 5x + -10 7 + (-22 + 6x) = 5x + -10 Combine like terms: 7 + -22 = -15 -15 + 6x = 5x + -10 Reorder the terms: -15 + 6x = -10 + 5x Solving -15 + 6x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 6x + -5x = -10 + 5x + -5x Combine like terms: 6x + -5x = 1x -15 + 1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 1x = -10 + 0 -15 + 1x = -10 Add '15' to each side of the equation. -15 + 15 + 1x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -10 + 15 1x = -10 + 15 Combine like terms: -10 + 15 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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