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Simplifying 4(x + 6) = 9(x + -7) Reorder the terms: 4(6 + x) = 9(x + -7) (6 * 4 + x * 4) = 9(x + -7) (24 + 4x) = 9(x + -7) Reorder the terms: 24 + 4x = 9(-7 + x) 24 + 4x = (-7 * 9 + x * 9) 24 + 4x = (-63 + 9x) Solving 24 + 4x = -63 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + 4x + -9x = -63 + 9x + -9x Combine like terms: 4x + -9x = -5x 24 + -5x = -63 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -5x = -63 + 0 24 + -5x = -63 Add '-24' to each side of the equation. 24 + -24 + -5x = -63 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = -63 + -24 -5x = -63 + -24 Combine like terms: -63 + -24 = -87 -5x = -87 Divide each side by '-5'. x = 17.4 Simplifying x = 17.4
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