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Simplifying 5 + -2(x + 6) = 8 + -5(x + 3) Reorder the terms: 5 + -2(6 + x) = 8 + -5(x + 3) 5 + (6 * -2 + x * -2) = 8 + -5(x + 3) 5 + (-12 + -2x) = 8 + -5(x + 3) Combine like terms: 5 + -12 = -7 -7 + -2x = 8 + -5(x + 3) Reorder the terms: -7 + -2x = 8 + -5(3 + x) -7 + -2x = 8 + (3 * -5 + x * -5) -7 + -2x = 8 + (-15 + -5x) Combine like terms: 8 + -15 = -7 -7 + -2x = -7 + -5x Add '7' to each side of the equation. -7 + 7 + -2x = -7 + 7 + -5x Combine like terms: -7 + 7 = 0 0 + -2x = -7 + 7 + -5x -2x = -7 + 7 + -5x Combine like terms: -7 + 7 = 0 -2x = 0 + -5x -2x = -5x Solving -2x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2x + 5x = -5x + 5x Combine like terms: -2x + 5x = 3x 3x = -5x + 5x Combine like terms: -5x + 5x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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