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Simplifying 2x + -1(-4 + 7) = (x + -6) + -6(3x + -4) Combine like terms: -4 + 7 = 3 2x + -1(3) = (x + -6) + -6(3x + -4) Multiply -1 * 3 2x + -3 = (x + -6) + -6(3x + -4) Reorder the terms: -3 + 2x = (x + -6) + -6(3x + -4) Reorder the terms: -3 + 2x = (-6 + x) + -6(3x + -4) Remove parenthesis around (-6 + x) -3 + 2x = -6 + x + -6(3x + -4) Reorder the terms: -3 + 2x = -6 + x + -6(-4 + 3x) -3 + 2x = -6 + x + (-4 * -6 + 3x * -6) -3 + 2x = -6 + x + (24 + -18x) Reorder the terms: -3 + 2x = -6 + 24 + x + -18x Combine like terms: -6 + 24 = 18 -3 + 2x = 18 + x + -18x Combine like terms: x + -18x = -17x -3 + 2x = 18 + -17x Solving -3 + 2x = 18 + -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. -3 + 2x + 17x = 18 + -17x + 17x Combine like terms: 2x + 17x = 19x -3 + 19x = 18 + -17x + 17x Combine like terms: -17x + 17x = 0 -3 + 19x = 18 + 0 -3 + 19x = 18 Add '3' to each side of the equation. -3 + 3 + 19x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 19x = 18 + 3 19x = 18 + 3 Combine like terms: 18 + 3 = 21 19x = 21 Divide each side by '19'. x = 1.105263158 Simplifying x = 1.105263158
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