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Simplifying 2(x + -1) + 3(2x + 5) = 21 Reorder the terms: 2(-1 + x) + 3(2x + 5) = 21 (-1 * 2 + x * 2) + 3(2x + 5) = 21 (-2 + 2x) + 3(2x + 5) = 21 Reorder the terms: -2 + 2x + 3(5 + 2x) = 21 -2 + 2x + (5 * 3 + 2x * 3) = 21 -2 + 2x + (15 + 6x) = 21 Reorder the terms: -2 + 15 + 2x + 6x = 21 Combine like terms: -2 + 15 = 13 13 + 2x + 6x = 21 Combine like terms: 2x + 6x = 8x 13 + 8x = 21 Solving 13 + 8x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8x = 21 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 21 + -13 8x = 21 + -13 Combine like terms: 21 + -13 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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