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Simplifying 20 + -1(2x + 1) = 2(x + 3) + 15 Reorder the terms: 20 + -1(1 + 2x) = 2(x + 3) + 15 20 + (1 * -1 + 2x * -1) = 2(x + 3) + 15 20 + (-1 + -2x) = 2(x + 3) + 15 Combine like terms: 20 + -1 = 19 19 + -2x = 2(x + 3) + 15 Reorder the terms: 19 + -2x = 2(3 + x) + 15 19 + -2x = (3 * 2 + x * 2) + 15 19 + -2x = (6 + 2x) + 15 Reorder the terms: 19 + -2x = 6 + 15 + 2x Combine like terms: 6 + 15 = 21 19 + -2x = 21 + 2x Solving 19 + -2x = 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. 19 + -2x + -2x = 21 + 2x + -2x Combine like terms: -2x + -2x = -4x 19 + -4x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + -4x = 21 + 0 19 + -4x = 21 Add '-19' to each side of the equation. 19 + -19 + -4x = 21 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 21 + -19 -4x = 21 + -19 Combine like terms: 21 + -19 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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