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Simplifying 2(3x + -5) + 11 = 2x + 21 Reorder the terms: 2(-5 + 3x) + 11 = 2x + 21 (-5 * 2 + 3x * 2) + 11 = 2x + 21 (-10 + 6x) + 11 = 2x + 21 Reorder the terms: -10 + 11 + 6x = 2x + 21 Combine like terms: -10 + 11 = 1 1 + 6x = 2x + 21 Reorder the terms: 1 + 6x = 21 + 2x Solving 1 + 6x = 21 + 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. 1 + 6x + -2x = 21 + 2x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 4x = 21 + 0 1 + 4x = 21 Add '-1' to each side of the equation. 1 + -1 + 4x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 21 + -1 4x = 21 + -1 Combine like terms: 21 + -1 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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