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Simplifying 4x + -7(3x + 1) = 5x + -18(12x + -1) Reorder the terms: 4x + -7(1 + 3x) = 5x + -18(12x + -1) 4x + (1 * -7 + 3x * -7) = 5x + -18(12x + -1) 4x + (-7 + -21x) = 5x + -18(12x + -1) Reorder the terms: -7 + 4x + -21x = 5x + -18(12x + -1) Combine like terms: 4x + -21x = -17x -7 + -17x = 5x + -18(12x + -1) Reorder the terms: -7 + -17x = 5x + -18(-1 + 12x) -7 + -17x = 5x + (-1 * -18 + 12x * -18) -7 + -17x = 5x + (18 + -216x) Reorder the terms: -7 + -17x = 18 + 5x + -216x Combine like terms: 5x + -216x = -211x -7 + -17x = 18 + -211x Solving -7 + -17x = 18 + -211x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '211x' to each side of the equation. -7 + -17x + 211x = 18 + -211x + 211x Combine like terms: -17x + 211x = 194x -7 + 194x = 18 + -211x + 211x Combine like terms: -211x + 211x = 0 -7 + 194x = 18 + 0 -7 + 194x = 18 Add '7' to each side of the equation. -7 + 7 + 194x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 194x = 18 + 7 194x = 18 + 7 Combine like terms: 18 + 7 = 25 194x = 25 Divide each side by '194'. x = 0.1288659794 Simplifying x = 0.1288659794
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