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Simplifying -2(3x + 7) = 10x + -21 Reorder the terms: -2(7 + 3x) = 10x + -21 (7 * -2 + 3x * -2) = 10x + -21 (-14 + -6x) = 10x + -21 Reorder the terms: -14 + -6x = -21 + 10x Solving -14 + -6x = -21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + -6x + -10x = -21 + 10x + -10x Combine like terms: -6x + -10x = -16x -14 + -16x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -16x = -21 + 0 -14 + -16x = -21 Add '14' to each side of the equation. -14 + 14 + -16x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + -16x = -21 + 14 -16x = -21 + 14 Combine like terms: -21 + 14 = -7 -16x = -7 Divide each side by '-16'. x = 0.4375 Simplifying x = 0.4375
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