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Simplifying 3x + -2(2x + 1) = 2x + 28 Reorder the terms: 3x + -2(1 + 2x) = 2x + 28 3x + (1 * -2 + 2x * -2) = 2x + 28 3x + (-2 + -4x) = 2x + 28 Reorder the terms: -2 + 3x + -4x = 2x + 28 Combine like terms: 3x + -4x = -1x -2 + -1x = 2x + 28 Reorder the terms: -2 + -1x = 28 + 2x Solving -2 + -1x = 28 + 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. -2 + -1x + -2x = 28 + 2x + -2x Combine like terms: -1x + -2x = -3x -2 + -3x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -3x = 28 + 0 -2 + -3x = 28 Add '2' to each side of the equation. -2 + 2 + -3x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 28 + 2 -3x = 28 + 2 Combine like terms: 28 + 2 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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