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Simplifying 4 + -1(6x + -5) = -3(x + 2) + 7 Reorder the terms: 4 + -1(-5 + 6x) = -3(x + 2) + 7 4 + (-5 * -1 + 6x * -1) = -3(x + 2) + 7 4 + (5 + -6x) = -3(x + 2) + 7 Combine like terms: 4 + 5 = 9 9 + -6x = -3(x + 2) + 7 Reorder the terms: 9 + -6x = -3(2 + x) + 7 9 + -6x = (2 * -3 + x * -3) + 7 9 + -6x = (-6 + -3x) + 7 Reorder the terms: 9 + -6x = -6 + 7 + -3x Combine like terms: -6 + 7 = 1 9 + -6x = 1 + -3x Solving 9 + -6x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + -6x + 3x = 1 + -3x + 3x Combine like terms: -6x + 3x = -3x 9 + -3x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -3x = 1 + 0 9 + -3x = 1 Add '-9' to each side of the equation. 9 + -9 + -3x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 1 + -9 -3x = 1 + -9 Combine like terms: 1 + -9 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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