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Simplifying 4(x + 6) = 4 * 8 + 9(x + -3) Reorder the terms: 4(6 + x) = 4 * 8 + 9(x + -3) (6 * 4 + x * 4) = 4 * 8 + 9(x + -3) (24 + 4x) = 4 * 8 + 9(x + -3) Multiply 4 * 8 24 + 4x = 32 + 9(x + -3) Reorder the terms: 24 + 4x = 32 + 9(-3 + x) 24 + 4x = 32 + (-3 * 9 + x * 9) 24 + 4x = 32 + (-27 + 9x) Combine like terms: 32 + -27 = 5 24 + 4x = 5 + 9x Solving 24 + 4x = 5 + 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 = 5 + 9x + -9x Combine like terms: 4x + -9x = -5x 24 + -5x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -5x = 5 + 0 24 + -5x = 5 Add '-24' to each side of the equation. 24 + -24 + -5x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 5 + -24 -5x = 5 + -24 Combine like terms: 5 + -24 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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