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Simplifying -3(2x + 7) = 2x + 19 Reorder the terms: -3(7 + 2x) = 2x + 19 (7 * -3 + 2x * -3) = 2x + 19 (-21 + -6x) = 2x + 19 Reorder the terms: -21 + -6x = 19 + 2x Solving -21 + -6x = 19 + 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. -21 + -6x + -2x = 19 + 2x + -2x Combine like terms: -6x + -2x = -8x -21 + -8x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + -8x = 19 + 0 -21 + -8x = 19 Add '21' to each side of the equation. -21 + 21 + -8x = 19 + 21 Combine like terms: -21 + 21 = 0 0 + -8x = 19 + 21 -8x = 19 + 21 Combine like terms: 19 + 21 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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