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Simplifying 9 + 4(x + -6) = 10 + -3(x + -4) Reorder the terms: 9 + 4(-6 + x) = 10 + -3(x + -4) 9 + (-6 * 4 + x * 4) = 10 + -3(x + -4) 9 + (-24 + 4x) = 10 + -3(x + -4) Combine like terms: 9 + -24 = -15 -15 + 4x = 10 + -3(x + -4) Reorder the terms: -15 + 4x = 10 + -3(-4 + x) -15 + 4x = 10 + (-4 * -3 + x * -3) -15 + 4x = 10 + (12 + -3x) Combine like terms: 10 + 12 = 22 -15 + 4x = 22 + -3x Solving -15 + 4x = 22 + -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 = 22 + -3x + 3x Combine like terms: 4x + 3x = 7x -15 + 7x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 7x = 22 + 0 -15 + 7x = 22 Add '15' to each side of the equation. -15 + 15 + 7x = 22 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 22 + 15 7x = 22 + 15 Combine like terms: 22 + 15 = 37 7x = 37 Divide each side by '7'. x = 5.285714286 Simplifying x = 5.285714286
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