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Simplifying 3x + -3(2x + 7) = -1(4x + 6) + -3 + 2x Reorder the terms: 3x + -3(7 + 2x) = -1(4x + 6) + -3 + 2x 3x + (7 * -3 + 2x * -3) = -1(4x + 6) + -3 + 2x 3x + (-21 + -6x) = -1(4x + 6) + -3 + 2x Reorder the terms: -21 + 3x + -6x = -1(4x + 6) + -3 + 2x Combine like terms: 3x + -6x = -3x -21 + -3x = -1(4x + 6) + -3 + 2x Reorder the terms: -21 + -3x = -1(6 + 4x) + -3 + 2x -21 + -3x = (6 * -1 + 4x * -1) + -3 + 2x -21 + -3x = (-6 + -4x) + -3 + 2x Reorder the terms: -21 + -3x = -6 + -3 + -4x + 2x Combine like terms: -6 + -3 = -9 -21 + -3x = -9 + -4x + 2x Combine like terms: -4x + 2x = -2x -21 + -3x = -9 + -2x Solving -21 + -3x = -9 + -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 + -3x + 2x = -9 + -2x + 2x Combine like terms: -3x + 2x = -1x -21 + -1x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + -1x = -9 + 0 -21 + -1x = -9 Add '21' to each side of the equation. -21 + 21 + -1x = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -9 + 21 -1x = -9 + 21 Combine like terms: -9 + 21 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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