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Simplifying 3(x + -5) + 8 = -6(x + -3) Reorder the terms: 3(-5 + x) + 8 = -6(x + -3) (-5 * 3 + x * 3) + 8 = -6(x + -3) (-15 + 3x) + 8 = -6(x + -3) Reorder the terms: -15 + 8 + 3x = -6(x + -3) Combine like terms: -15 + 8 = -7 -7 + 3x = -6(x + -3) Reorder the terms: -7 + 3x = -6(-3 + x) -7 + 3x = (-3 * -6 + x * -6) -7 + 3x = (18 + -6x) Solving -7 + 3x = 18 + -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 = 18 + -6x + 6x Combine like terms: 3x + 6x = 9x -7 + 9x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 9x = 18 + 0 -7 + 9x = 18 Add '7' to each side of the equation. -7 + 7 + 9x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 18 + 7 9x = 18 + 7 Combine like terms: 18 + 7 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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