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Simplifying 5x + -1(x + 3) = 2x + -21 Reorder the terms: 5x + -1(3 + x) = 2x + -21 5x + (3 * -1 + x * -1) = 2x + -21 5x + (-3 + -1x) = 2x + -21 Reorder the terms: -3 + 5x + -1x = 2x + -21 Combine like terms: 5x + -1x = 4x -3 + 4x = 2x + -21 Reorder the terms: -3 + 4x = -21 + 2x Solving -3 + 4x = -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. -3 + 4x + -2x = -21 + 2x + -2x Combine like terms: 4x + -2x = 2x -3 + 2x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 2x = -21 + 0 -3 + 2x = -21 Add '3' to each side of the equation. -3 + 3 + 2x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -21 + 3 2x = -21 + 3 Combine like terms: -21 + 3 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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