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Simplifying 4(x + 3) + -6(x + -5) = 9 Reorder the terms: 4(3 + x) + -6(x + -5) = 9 (3 * 4 + x * 4) + -6(x + -5) = 9 (12 + 4x) + -6(x + -5) = 9 Reorder the terms: 12 + 4x + -6(-5 + x) = 9 12 + 4x + (-5 * -6 + x * -6) = 9 12 + 4x + (30 + -6x) = 9 Reorder the terms: 12 + 30 + 4x + -6x = 9 Combine like terms: 12 + 30 = 42 42 + 4x + -6x = 9 Combine like terms: 4x + -6x = -2x 42 + -2x = 9 Solving 42 + -2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -2x = 9 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 9 + -42 -2x = 9 + -42 Combine like terms: 9 + -42 = -33 -2x = -33 Divide each side by '-2'. x = 16.5 Simplifying x = 16.5
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