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Simplifying 7 + -1(3x + 4) = -2x + -1(4x + 5) Reorder the terms: 7 + -1(4 + 3x) = -2x + -1(4x + 5) 7 + (4 * -1 + 3x * -1) = -2x + -1(4x + 5) 7 + (-4 + -3x) = -2x + -1(4x + 5) Combine like terms: 7 + -4 = 3 3 + -3x = -2x + -1(4x + 5) Reorder the terms: 3 + -3x = -2x + -1(5 + 4x) 3 + -3x = -2x + (5 * -1 + 4x * -1) 3 + -3x = -2x + (-5 + -4x) Reorder the terms: 3 + -3x = -5 + -2x + -4x Combine like terms: -2x + -4x = -6x 3 + -3x = -5 + -6x Solving 3 + -3x = -5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -3x + 6x = -5 + -6x + 6x Combine like terms: -3x + 6x = 3x 3 + 3x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 3x = -5 + 0 3 + 3x = -5 Add '-3' to each side of the equation. 3 + -3 + 3x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -5 + -3 3x = -5 + -3 Combine like terms: -5 + -3 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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