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Simplifying 5 + -1(4 + 3x) = 6 + -3(2x + -7) 5 + (4 * -1 + 3x * -1) = 6 + -3(2x + -7) 5 + (-4 + -3x) = 6 + -3(2x + -7) Combine like terms: 5 + -4 = 1 1 + -3x = 6 + -3(2x + -7) Reorder the terms: 1 + -3x = 6 + -3(-7 + 2x) 1 + -3x = 6 + (-7 * -3 + 2x * -3) 1 + -3x = 6 + (21 + -6x) Combine like terms: 6 + 21 = 27 1 + -3x = 27 + -6x Solving 1 + -3x = 27 + -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. 1 + -3x + 6x = 27 + -6x + 6x Combine like terms: -3x + 6x = 3x 1 + 3x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 3x = 27 + 0 1 + 3x = 27 Add '-1' to each side of the equation. 1 + -1 + 3x = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 27 + -1 3x = 27 + -1 Combine like terms: 27 + -1 = 26 3x = 26 Divide each side by '3'. x = 8.666666667 Simplifying x = 8.666666667
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