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Simplifying 8 + -3(x + 5) = -2(3x + 5) Reorder the terms: 8 + -3(5 + x) = -2(3x + 5) 8 + (5 * -3 + x * -3) = -2(3x + 5) 8 + (-15 + -3x) = -2(3x + 5) Combine like terms: 8 + -15 = -7 -7 + -3x = -2(3x + 5) Reorder the terms: -7 + -3x = -2(5 + 3x) -7 + -3x = (5 * -2 + 3x * -2) -7 + -3x = (-10 + -6x) Solving -7 + -3x = -10 + -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. -7 + -3x + 6x = -10 + -6x + 6x Combine like terms: -3x + 6x = 3x -7 + 3x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 3x = -10 + 0 -7 + 3x = -10 Add '7' to each side of the equation. -7 + 7 + 3x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -10 + 7 3x = -10 + 7 Combine like terms: -10 + 7 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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