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Simplifying -3(4x + 3) + 4(-1x + -2) = 17 Reorder the terms: -3(3 + 4x) + 4(-1x + -2) = 17 (3 * -3 + 4x * -3) + 4(-1x + -2) = 17 (-9 + -12x) + 4(-1x + -2) = 17 Reorder the terms: -9 + -12x + 4(-2 + -1x) = 17 -9 + -12x + (-2 * 4 + -1x * 4) = 17 -9 + -12x + (-8 + -4x) = 17 Reorder the terms: -9 + -8 + -12x + -4x = 17 Combine like terms: -9 + -8 = -17 -17 + -12x + -4x = 17 Combine like terms: -12x + -4x = -16x -17 + -16x = 17 Solving -17 + -16x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -16x = 17 + 17 Combine like terms: -17 + 17 = 0 0 + -16x = 17 + 17 -16x = 17 + 17 Combine like terms: 17 + 17 = 34 -16x = 34 Divide each side by '-16'. x = -2.125 Simplifying x = -2.125
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