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Simplifying -4(x + 6) + 9 = 12 + 3(x + 5) Reorder the terms: -4(6 + x) + 9 = 12 + 3(x + 5) (6 * -4 + x * -4) + 9 = 12 + 3(x + 5) (-24 + -4x) + 9 = 12 + 3(x + 5) Reorder the terms: -24 + 9 + -4x = 12 + 3(x + 5) Combine like terms: -24 + 9 = -15 -15 + -4x = 12 + 3(x + 5) Reorder the terms: -15 + -4x = 12 + 3(5 + x) -15 + -4x = 12 + (5 * 3 + x * 3) -15 + -4x = 12 + (15 + 3x) Combine like terms: 12 + 15 = 27 -15 + -4x = 27 + 3x Solving -15 + -4x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + -4x + -3x = 27 + 3x + -3x Combine like terms: -4x + -3x = -7x -15 + -7x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -7x = 27 + 0 -15 + -7x = 27 Add '15' to each side of the equation. -15 + 15 + -7x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 27 + 15 -7x = 27 + 15 Combine like terms: 27 + 15 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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