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Simplifying 4x + -3(x + -2) = 17x + -44 Reorder the terms: 4x + -3(-2 + x) = 17x + -44 4x + (-2 * -3 + x * -3) = 17x + -44 4x + (6 + -3x) = 17x + -44 Reorder the terms: 6 + 4x + -3x = 17x + -44 Combine like terms: 4x + -3x = 1x 6 + 1x = 17x + -44 Reorder the terms: 6 + 1x = -44 + 17x Solving 6 + 1x = -44 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 6 + 1x + -17x = -44 + 17x + -17x Combine like terms: 1x + -17x = -16x 6 + -16x = -44 + 17x + -17x Combine like terms: 17x + -17x = 0 6 + -16x = -44 + 0 6 + -16x = -44 Add '-6' to each side of the equation. 6 + -6 + -16x = -44 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = -44 + -6 -16x = -44 + -6 Combine like terms: -44 + -6 = -50 -16x = -50 Divide each side by '-16'. x = 3.125 Simplifying x = 3.125
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