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Simplifying 6(x + -2) = -3(x + -6) + 25 Reorder the terms: 6(-2 + x) = -3(x + -6) + 25 (-2 * 6 + x * 6) = -3(x + -6) + 25 (-12 + 6x) = -3(x + -6) + 25 Reorder the terms: -12 + 6x = -3(-6 + x) + 25 -12 + 6x = (-6 * -3 + x * -3) + 25 -12 + 6x = (18 + -3x) + 25 Reorder the terms: -12 + 6x = 18 + 25 + -3x Combine like terms: 18 + 25 = 43 -12 + 6x = 43 + -3x Solving -12 + 6x = 43 + -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. -12 + 6x + 3x = 43 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = 43 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = 43 + 0 -12 + 9x = 43 Add '12' to each side of the equation. -12 + 12 + 9x = 43 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 43 + 12 9x = 43 + 12 Combine like terms: 43 + 12 = 55 9x = 55 Divide each side by '9'. x = 6.111111111 Simplifying x = 6.111111111
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