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Simplifying -3(4x + 7) = 19 + -2x Reorder the terms: -3(7 + 4x) = 19 + -2x (7 * -3 + 4x * -3) = 19 + -2x (-21 + -12x) = 19 + -2x Solving -21 + -12x = 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 + -12x + 2x = 19 + -2x + 2x Combine like terms: -12x + 2x = -10x -21 + -10x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + -10x = 19 + 0 -21 + -10x = 19 Add '21' to each side of the equation. -21 + 21 + -10x = 19 + 21 Combine like terms: -21 + 21 = 0 0 + -10x = 19 + 21 -10x = 19 + 21 Combine like terms: 19 + 21 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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