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Simplifying 5x + -2(3x + 1) = 3x + -21 Reorder the terms: 5x + -2(1 + 3x) = 3x + -21 5x + (1 * -2 + 3x * -2) = 3x + -21 5x + (-2 + -6x) = 3x + -21 Reorder the terms: -2 + 5x + -6x = 3x + -21 Combine like terms: 5x + -6x = -1x -2 + -1x = 3x + -21 Reorder the terms: -2 + -1x = -21 + 3x Solving -2 + -1x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -1x + -3x = -21 + 3x + -3x Combine like terms: -1x + -3x = -4x -2 + -4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -4x = -21 + 0 -2 + -4x = -21 Add '2' to each side of the equation. -2 + 2 + -4x = -21 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -21 + 2 -4x = -21 + 2 Combine like terms: -21 + 2 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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