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Simplifying 2 + -1(4x + 5) = 7(2x + 3) + -1x Reorder the terms: 2 + -1(5 + 4x) = 7(2x + 3) + -1x 2 + (5 * -1 + 4x * -1) = 7(2x + 3) + -1x 2 + (-5 + -4x) = 7(2x + 3) + -1x Combine like terms: 2 + -5 = -3 -3 + -4x = 7(2x + 3) + -1x Reorder the terms: -3 + -4x = 7(3 + 2x) + -1x -3 + -4x = (3 * 7 + 2x * 7) + -1x -3 + -4x = (21 + 14x) + -1x Combine like terms: 14x + -1x = 13x -3 + -4x = 21 + 13x Solving -3 + -4x = 21 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -3 + -4x + -13x = 21 + 13x + -13x Combine like terms: -4x + -13x = -17x -3 + -17x = 21 + 13x + -13x Combine like terms: 13x + -13x = 0 -3 + -17x = 21 + 0 -3 + -17x = 21 Add '3' to each side of the equation. -3 + 3 + -17x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -17x = 21 + 3 -17x = 21 + 3 Combine like terms: 21 + 3 = 24 -17x = 24 Divide each side by '-17'. x = -1.411764706 Simplifying x = -1.411764706
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