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Simplifying 9 + 4(x + -6) = 1 + -3(x + -6) Reorder the terms: 9 + 4(-6 + x) = 1 + -3(x + -6) 9 + (-6 * 4 + x * 4) = 1 + -3(x + -6) 9 + (-24 + 4x) = 1 + -3(x + -6) Combine like terms: 9 + -24 = -15 -15 + 4x = 1 + -3(x + -6) Reorder the terms: -15 + 4x = 1 + -3(-6 + x) -15 + 4x = 1 + (-6 * -3 + x * -3) -15 + 4x = 1 + (18 + -3x) Combine like terms: 1 + 18 = 19 -15 + 4x = 19 + -3x Solving -15 + 4x = 19 + -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 = 19 + -3x + 3x Combine like terms: 4x + 3x = 7x -15 + 7x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 7x = 19 + 0 -15 + 7x = 19 Add '15' to each side of the equation. -15 + 15 + 7x = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 19 + 15 7x = 19 + 15 Combine like terms: 19 + 15 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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