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Simplifying 4(3x + -7) + -3(2x + 7) = 19 + -2x Reorder the terms: 4(-7 + 3x) + -3(2x + 7) = 19 + -2x (-7 * 4 + 3x * 4) + -3(2x + 7) = 19 + -2x (-28 + 12x) + -3(2x + 7) = 19 + -2x Reorder the terms: -28 + 12x + -3(7 + 2x) = 19 + -2x -28 + 12x + (7 * -3 + 2x * -3) = 19 + -2x -28 + 12x + (-21 + -6x) = 19 + -2x Reorder the terms: -28 + -21 + 12x + -6x = 19 + -2x Combine like terms: -28 + -21 = -49 -49 + 12x + -6x = 19 + -2x Combine like terms: 12x + -6x = 6x -49 + 6x = 19 + -2x Solving -49 + 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. -49 + 6x + 2x = 19 + -2x + 2x Combine like terms: 6x + 2x = 8x -49 + 8x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -49 + 8x = 19 + 0 -49 + 8x = 19 Add '49' to each side of the equation. -49 + 49 + 8x = 19 + 49 Combine like terms: -49 + 49 = 0 0 + 8x = 19 + 49 8x = 19 + 49 Combine like terms: 19 + 49 = 68 8x = 68 Divide each side by '8'. x = 8.5 Simplifying x = 8.5
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