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Simplifying 9 + 6(x + -7) = 9 + -4(x + -6) Reorder the terms: 9 + 6(-7 + x) = 9 + -4(x + -6) 9 + (-7 * 6 + x * 6) = 9 + -4(x + -6) 9 + (-42 + 6x) = 9 + -4(x + -6) Combine like terms: 9 + -42 = -33 -33 + 6x = 9 + -4(x + -6) Reorder the terms: -33 + 6x = 9 + -4(-6 + x) -33 + 6x = 9 + (-6 * -4 + x * -4) -33 + 6x = 9 + (24 + -4x) Combine like terms: 9 + 24 = 33 -33 + 6x = 33 + -4x Solving -33 + 6x = 33 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -33 + 6x + 4x = 33 + -4x + 4x Combine like terms: 6x + 4x = 10x -33 + 10x = 33 + -4x + 4x Combine like terms: -4x + 4x = 0 -33 + 10x = 33 + 0 -33 + 10x = 33 Add '33' to each side of the equation. -33 + 33 + 10x = 33 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = 33 + 33 10x = 33 + 33 Combine like terms: 33 + 33 = 66 10x = 66 Divide each side by '10'. x = 6.6 Simplifying x = 6.6
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