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Simplifying 6 + 9(x + -6) = 5 + -7(x + -4) Reorder the terms: 6 + 9(-6 + x) = 5 + -7(x + -4) 6 + (-6 * 9 + x * 9) = 5 + -7(x + -4) 6 + (-54 + 9x) = 5 + -7(x + -4) Combine like terms: 6 + -54 = -48 -48 + 9x = 5 + -7(x + -4) Reorder the terms: -48 + 9x = 5 + -7(-4 + x) -48 + 9x = 5 + (-4 * -7 + x * -7) -48 + 9x = 5 + (28 + -7x) Combine like terms: 5 + 28 = 33 -48 + 9x = 33 + -7x Solving -48 + 9x = 33 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -48 + 9x + 7x = 33 + -7x + 7x Combine like terms: 9x + 7x = 16x -48 + 16x = 33 + -7x + 7x Combine like terms: -7x + 7x = 0 -48 + 16x = 33 + 0 -48 + 16x = 33 Add '48' to each side of the equation. -48 + 48 + 16x = 33 + 48 Combine like terms: -48 + 48 = 0 0 + 16x = 33 + 48 16x = 33 + 48 Combine like terms: 33 + 48 = 81 16x = 81 Divide each side by '16'. x = 5.0625 Simplifying x = 5.0625
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