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Simplifying 3(x + 2) + -1(4x + 7) = (17x + -55) Reorder the terms: 3(2 + x) + -1(4x + 7) = (17x + -55) (2 * 3 + x * 3) + -1(4x + 7) = (17x + -55) (6 + 3x) + -1(4x + 7) = (17x + -55) Reorder the terms: 6 + 3x + -1(7 + 4x) = (17x + -55) 6 + 3x + (7 * -1 + 4x * -1) = (17x + -55) 6 + 3x + (-7 + -4x) = (17x + -55) Reorder the terms: 6 + -7 + 3x + -4x = (17x + -55) Combine like terms: 6 + -7 = -1 -1 + 3x + -4x = (17x + -55) Combine like terms: 3x + -4x = -1x -1 + -1x = (17x + -55) Reorder the terms: -1 + -1x = (-55 + 17x) Remove parenthesis around (-55 + 17x) -1 + -1x = -55 + 17x Solving -1 + -1x = -55 + 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. -1 + -1x + -17x = -55 + 17x + -17x Combine like terms: -1x + -17x = -18x -1 + -18x = -55 + 17x + -17x Combine like terms: 17x + -17x = 0 -1 + -18x = -55 + 0 -1 + -18x = -55 Add '1' to each side of the equation. -1 + 1 + -18x = -55 + 1 Combine like terms: -1 + 1 = 0 0 + -18x = -55 + 1 -18x = -55 + 1 Combine like terms: -55 + 1 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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