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Simplifying 3(x + 2) + -8 = 4x + -21 Reorder the terms: 3(2 + x) + -8 = 4x + -21 (2 * 3 + x * 3) + -8 = 4x + -21 (6 + 3x) + -8 = 4x + -21 Reorder the terms: 6 + -8 + 3x = 4x + -21 Combine like terms: 6 + -8 = -2 -2 + 3x = 4x + -21 Reorder the terms: -2 + 3x = -21 + 4x Solving -2 + 3x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 3x + -4x = -21 + 4x + -4x Combine like terms: 3x + -4x = -1x -2 + -1x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -1x = -21 + 0 -2 + -1x = -21 Add '2' to each side of the equation. -2 + 2 + -1x = -21 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -21 + 2 -1x = -21 + 2 Combine like terms: -21 + 2 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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