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Simplifying 8 + 2(2x + -6) = 7 + -3(x + -5) Reorder the terms: 8 + 2(-6 + 2x) = 7 + -3(x + -5) 8 + (-6 * 2 + 2x * 2) = 7 + -3(x + -5) 8 + (-12 + 4x) = 7 + -3(x + -5) Combine like terms: 8 + -12 = -4 -4 + 4x = 7 + -3(x + -5) Reorder the terms: -4 + 4x = 7 + -3(-5 + x) -4 + 4x = 7 + (-5 * -3 + x * -3) -4 + 4x = 7 + (15 + -3x) Combine like terms: 7 + 15 = 22 -4 + 4x = 22 + -3x Solving -4 + 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. -4 + 4x + 3x = 22 + -3x + 3x Combine like terms: 4x + 3x = 7x -4 + 7x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 7x = 22 + 0 -4 + 7x = 22 Add '4' to each side of the equation. -4 + 4 + 7x = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 22 + 4 7x = 22 + 4 Combine like terms: 22 + 4 = 26 7x = 26 Divide each side by '7'. x = 3.714285714 Simplifying x = 3.714285714
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