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Simplifying 2 + -1(2x + 2) = 2(x + 3) + -21 Reorder the terms: 2 + -1(2 + 2x) = 2(x + 3) + -21 2 + (2 * -1 + 2x * -1) = 2(x + 3) + -21 2 + (-2 + -2x) = 2(x + 3) + -21 Combine like terms: 2 + -2 = 0 0 + -2x = 2(x + 3) + -21 -2x = 2(x + 3) + -21 Reorder the terms: -2x = 2(3 + x) + -21 -2x = (3 * 2 + x * 2) + -21 -2x = (6 + 2x) + -21 Reorder the terms: -2x = 6 + -21 + 2x Combine like terms: 6 + -21 = -15 -2x = -15 + 2x Solving -2x = -15 + 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. -2x + -2x = -15 + 2x + -2x Combine like terms: -2x + -2x = -4x -4x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -4x = -15 + 0 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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