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Simplifying 6 + 3(x + -4) = 6 + -6(x + -5) Reorder the terms: 6 + 3(-4 + x) = 6 + -6(x + -5) 6 + (-4 * 3 + x * 3) = 6 + -6(x + -5) 6 + (-12 + 3x) = 6 + -6(x + -5) Combine like terms: 6 + -12 = -6 -6 + 3x = 6 + -6(x + -5) Reorder the terms: -6 + 3x = 6 + -6(-5 + x) -6 + 3x = 6 + (-5 * -6 + x * -6) -6 + 3x = 6 + (30 + -6x) Combine like terms: 6 + 30 = 36 -6 + 3x = 36 + -6x Solving -6 + 3x = 36 + -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. -6 + 3x + 6x = 36 + -6x + 6x Combine like terms: 3x + 6x = 9x -6 + 9x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 9x = 36 + 0 -6 + 9x = 36 Add '6' to each side of the equation. -6 + 6 + 9x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 36 + 6 9x = 36 + 6 Combine like terms: 36 + 6 = 42 9x = 42 Divide each side by '9'. x = 4.666666667 Simplifying x = 4.666666667
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